---
OA_place: repository
OA_type: green
_id: '22027'
abstract:
- lang: eng
  text: We demonstrate that in three space dimensions, the scattering behaviour of
    semilinear wave equations with quintic-type nonlinearities uniquely determines
    the nonlinearity. The nonlinearity is permitted to depend on both space and time.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nicholas
  full_name: Hu, Nicholas
  last_name: Hu
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Hu N, Killip R, Vişan M. Deconvolutional determination of the nonlinearity
    in a semilinear wave equation. <i>Pure and Applied Analysis</i>. 2025;7(1):1-17.
    doi:<a href="https://doi.org/10.2140/paa.2025.7.1">10.2140/paa.2025.7.1</a>
  apa: Hu, N., Killip, R., &#38; Vişan, M. (2025). Deconvolutional determination of
    the nonlinearity in a semilinear wave equation. <i>Pure and Applied Analysis</i>.
    Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/paa.2025.7.1">https://doi.org/10.2140/paa.2025.7.1</a>
  chicago: Hu, Nicholas, Rowan Killip, and Monica Vişan. “Deconvolutional Determination
    of the Nonlinearity in a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>.
    Mathematical Sciences Publishers, 2025. <a href="https://doi.org/10.2140/paa.2025.7.1">https://doi.org/10.2140/paa.2025.7.1</a>.
  ieee: N. Hu, R. Killip, and M. Vişan, “Deconvolutional determination of the nonlinearity
    in a semilinear wave equation,” <i>Pure and Applied Analysis</i>, vol. 7, no.
    1. Mathematical Sciences Publishers, pp. 1–17, 2025.
  ista: Hu N, Killip R, Vişan M. 2025. Deconvolutional determination of the nonlinearity
    in a semilinear wave equation. Pure and Applied Analysis. 7(1), 1–17.
  mla: Hu, Nicholas, et al. “Deconvolutional Determination of the Nonlinearity in
    a Semilinear Wave Equation.” <i>Pure and Applied Analysis</i>, vol. 7, no. 1,
    Mathematical Sciences Publishers, 2025, pp. 1–17, doi:<a href="https://doi.org/10.2140/paa.2025.7.1">10.2140/paa.2025.7.1</a>.
  short: N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17.
date_created: 2026-06-19T07:36:00Z
date_published: 2025-01-22T00:00:00Z
date_updated: 2026-06-24T13:24:38Z
day: '22'
doi: 10.2140/paa.2025.7.1
extern: '1'
external_id:
  arxiv:
  - '2307.00829'
intvolume: '         7'
issue: '1'
keyword:
- dispersive equations
- nonlinear wave equation
- semilinear wave equation
- scattering
- inverse scattering
- deconvolution
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2307.00829
mathsc:
- 35L70
- 35P25
- 35R30
month: '01'
oa: 1
oa_version: Preprint
page: 1-17
publication: Pure and Applied Analysis
publication_identifier:
  eissn:
  - 2578-5885
  issn:
  - 2578-5893
publication_status: published
publisher: Mathematical Sciences Publishers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Deconvolutional determination of the nonlinearity in a semilinear wave equation
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2025'
...
---
_id: '9301'
abstract:
- lang: eng
  text: Electrodepositing insulating lithium peroxide (Li2O2) is the key process during
    discharge of aprotic Li–O2 batteries and determines rate, capacity, and reversibility.
    Current understanding states that the partition between surface adsorbed and dissolved
    lithium superoxide governs whether Li2O2 grows as a conformal surface film or
    larger particles, leading to low or high capacities, respectively. However, better
    understanding governing factors for Li2O2 packing density and capacity requires
    structural sensitive in situ metrologies. Here, we establish in situ small- and
    wide-angle X-ray scattering (SAXS/WAXS) as a suitable method to record the Li2O2
    phase evolution with atomic to submicrometer resolution during cycling a custom-built
    in situ Li–O2 cell. Combined with sophisticated data analysis, SAXS allows retrieving
    rich quantitative structural information from complex multiphase systems. Surprisingly,
    we find that features are absent that would point at a Li2O2 surface film formed
    via two consecutive electron transfers, even in poorly solvating electrolytes
    thought to be prototypical for surface growth. All scattering data can be modeled
    by stacks of thin Li2O2 platelets potentially forming large toroidal particles.
    Li2O2 solution growth is further justified by rotating ring-disk electrode measurements
    and electron microscopy. Higher discharge overpotentials lead to smaller Li2O2
    particles, but there is no transition to an electronically passivating, conformal
    Li2O2 coating. Hence, mass transport of reactive species rather than electronic
    transport through a Li2O2 film limits the discharge capacity. Provided that species
    mobilities and carbon surface areas are high, this allows for high discharge capacities
    even in weakly solvating electrolytes. The currently accepted Li–O2 reaction mechanism
    ought to be reconsidered.
acknowledged_ssus:
- _id: EM-Fac
acknowledgement: S.A.F. and C.P. are indebted to the European Research Council under
  the European Union's Horizon 2020 research and innovation program (Grant Agreement
  No. 636069), the Austrian Federal Ministry of Science, Research and Economy, and
  the Austrian Research Promotion Agency (Grant No. 845364). We acknowledge A. Zankel
  and H. Schroettner for support with SEM measurements. C.P. thanks N. Kostoglou,
  C. Koczwara, M. Hartmann, and M. Burian for discussions on gas sorption analysis,
  C++ programming, Monte Carlo modeling, and in situ SAXS experiments, respectively.
  We thank S. Stadlbauer for help with Karl Fischer titration, R. Riccò for gas sorption
  measurements, and acknowledge Graz University of Technology for support through
  the Lead Project LP-03. Likewise, the use of SOMAPP Lab, a core facility supported
  by the Austrian Federal Ministry of Education, Science and Research, the Graz University
  of Technology, the University of Graz, and Anton Paar GmbH is acknowledged. S.A.F.
  is indebted to Institute of Science and Technology Austria (IST Austria) for support.
  This research was supported by the Scientific Service Units of IST Austria through
  resources provided by the Electron Microscopy Facility.
article_number: e2021893118
article_processing_charge: No
article_type: original
author:
- first_name: Christian
  full_name: Prehal, Christian
  last_name: Prehal
- first_name: Aleksej
  full_name: Samojlov, Aleksej
  last_name: Samojlov
- first_name: Manfred
  full_name: Nachtnebel, Manfred
  last_name: Nachtnebel
- first_name: Ludek
  full_name: Lovicar, Ludek
  id: 36DB3A20-F248-11E8-B48F-1D18A9856A87
  last_name: Lovicar
  orcid: 0000-0001-6206-4200
- first_name: Manfred
  full_name: Kriechbaum, Manfred
  last_name: Kriechbaum
- first_name: Heinz
  full_name: Amenitsch, Heinz
  last_name: Amenitsch
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
citation:
  ama: Prehal C, Samojlov A, Nachtnebel M, et al. In situ small-angle X-ray scattering
    reveals solution phase discharge of Li–O2 batteries with weakly solvating electrolytes.
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>.
    2021;118(14). doi:<a href="https://doi.org/10.1073/pnas.2021893118">10.1073/pnas.2021893118</a>
  apa: Prehal, C., Samojlov, A., Nachtnebel, M., Lovicar, L., Kriechbaum, M., Amenitsch,
    H., &#38; Freunberger, S. A. (2021). In situ small-angle X-ray scattering reveals
    solution phase discharge of Li–O2 batteries with weakly solvating electrolytes.
    <i>Proceedings of the National Academy of Sciences of the United States of America</i>.
    National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.2021893118">https://doi.org/10.1073/pnas.2021893118</a>
  chicago: Prehal, Christian, Aleksej Samojlov, Manfred Nachtnebel, Ludek Lovicar,
    Manfred Kriechbaum, Heinz Amenitsch, and Stefan Alexander Freunberger. “In Situ
    Small-Angle X-Ray Scattering Reveals Solution Phase Discharge of Li–O2 Batteries
    with Weakly Solvating Electrolytes.” <i>Proceedings of the National Academy of
    Sciences of the United States of America</i>. National Academy of Sciences, 2021.
    <a href="https://doi.org/10.1073/pnas.2021893118">https://doi.org/10.1073/pnas.2021893118</a>.
  ieee: C. Prehal <i>et al.</i>, “In situ small-angle X-ray scattering reveals solution
    phase discharge of Li–O2 batteries with weakly solvating electrolytes,” <i>Proceedings
    of the National Academy of Sciences of the United States of America</i>, vol.
    118, no. 14. National Academy of Sciences, 2021.
  ista: Prehal C, Samojlov A, Nachtnebel M, Lovicar L, Kriechbaum M, Amenitsch H,
    Freunberger SA. 2021. In situ small-angle X-ray scattering reveals solution phase
    discharge of Li–O2 batteries with weakly solvating electrolytes. Proceedings of
    the National Academy of Sciences of the United States of America. 118(14), e2021893118.
  mla: Prehal, Christian, et al. “In Situ Small-Angle X-Ray Scattering Reveals Solution
    Phase Discharge of Li–O2 Batteries with Weakly Solvating Electrolytes.” <i>Proceedings
    of the National Academy of Sciences of the United States of America</i>, vol.
    118, no. 14, e2021893118, National Academy of Sciences, 2021, doi:<a href="https://doi.org/10.1073/pnas.2021893118">10.1073/pnas.2021893118</a>.
  short: C. Prehal, A. Samojlov, M. Nachtnebel, L. Lovicar, M. Kriechbaum, H. Amenitsch,
    S.A. Freunberger, Proceedings of the National Academy of Sciences of the United
    States of America 118 (2021).
date_created: 2021-03-31T07:00:01Z
date_published: 2021-04-06T00:00:00Z
date_updated: 2025-06-12T06:56:39Z
day: '06'
department:
- _id: StFr
- _id: EM-Fac
doi: 10.1073/pnas.2021893118
external_id:
  isi:
  - '000637398300050'
  pmid:
  - '33785597'
intvolume: '       118'
isi: 1
issue: '14'
keyword:
- small-angle X-ray scattering
- oxygen reduction
- disproportionation
- Li-air battery
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.26434/chemrxiv.11447775
month: '04'
oa: 1
oa_version: Preprint
pmid: 1
publication: Proceedings of the National Academy of Sciences of the United States
  of America
publication_identifier:
  eissn:
  - 1091-6490
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: In situ small-angle X-ray scattering reveals solution phase discharge of Li–O2
  batteries with weakly solvating electrolytes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 118
year: '2021'
...
---
OA_place: repository
OA_type: green
_id: '22084'
abstract:
- lang: eng
  text: We consider the nonlinear Schrödinger equation in three space dimensions
    with combined focusing cubic and defocusing quintic nonlinearity. This problem
    was considered previously by Killip et al. [Arch. Ration. Mech. Anal., 225 (2017),
    pp. 469--548], who proved scattering for the whole region of the mass/energy plane
    where the virial quantity is guaranteed to be positive. In this paper, we prove
    scattering in a slightly larger region where, in particular, the virial quantity
    is no longer guaranteed to be sign definite.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Jason
  full_name: Murphy, Jason
  last_name: Murphy
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: 'Killip R, Murphy J, Vişan M. Scattering for the cubic-quintic NLS: Crossing
    the virial threshold. <i>SIAM Journal on Mathematical Analysis</i>. 2021;53(5):5803-5812.
    doi:<a href="https://doi.org/10.1137/20m1381824">10.1137/20m1381824</a>'
  apa: 'Killip, R., Murphy, J., &#38; Vişan, M. (2021). Scattering for the cubic-quintic
    NLS: Crossing the virial threshold. <i>SIAM Journal on Mathematical Analysis</i>.
    Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/20m1381824">https://doi.org/10.1137/20m1381824</a>'
  chicago: 'Killip, Rowan, Jason Murphy, and Monica Vişan. “Scattering for the Cubic-Quintic
    NLS: Crossing the Virial Threshold.” <i>SIAM Journal on Mathematical Analysis</i>.
    Society for Industrial &#38; Applied Mathematics, 2021. <a href="https://doi.org/10.1137/20m1381824">https://doi.org/10.1137/20m1381824</a>.'
  ieee: 'R. Killip, J. Murphy, and M. Vişan, “Scattering for the cubic-quintic NLS:
    Crossing the virial threshold,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 53, no. 5. Society for Industrial &#38; Applied Mathematics, pp. 5803–5812,
    2021.'
  ista: 'Killip R, Murphy J, Vişan M. 2021. Scattering for the cubic-quintic NLS:
    Crossing the virial threshold. SIAM Journal on Mathematical Analysis. 53(5), 5803–5812.'
  mla: 'Killip, Rowan, et al. “Scattering for the Cubic-Quintic NLS: Crossing the
    Virial Threshold.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 53, no.
    5, Society for Industrial &#38; Applied Mathematics, 2021, pp. 5803–12, doi:<a
    href="https://doi.org/10.1137/20m1381824">10.1137/20m1381824</a>.'
  short: R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 53
    (2021) 5803–5812.
das_tickbox: '1'
date_created: 2026-06-19T08:28:23Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2026-07-01T07:37:46Z
day: '01'
doi: 10.1137/20m1381824
extern: '1'
external_id:
  arxiv:
  - '2007.07406'
intvolume: '        53'
issue: '5'
keyword:
- NLS
- scattering
- viral
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2007.07406
mathsc:
- 35Q55
month: '01'
oa: 1
oa_version: Preprint
page: 5803-5812
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  eissn:
  - 1095-7154
  issn:
  - 0036-1410
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Scattering for the cubic-quintic NLS: Crossing the virial threshold'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 53
year: '2021'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21642'
abstract:
- lang: eng
  text: 'By codesigning a metaoptical front end in conjunction with an image‐processing
    back end, we demonstrate noise sensitivity and compactness substantially superior
    to either an optics‐only or a computation‐only approach, illustrated by two examples:
    subwavelength imaging and reconstruction of the full polarization coherence matrices
    of multiple light sources. Our end‐to‐end inverse designs couple the solution
    of the full Maxwell equations—exploiting all aspects of wave physics arising in
    subwavelength scatterers—with inverse‐scattering algorithms in a single large‐scale
    optimization involving  degrees of freedom. The resulting structures scatter light
    in a way that is radically different from either a conventional lens or a random
    microstructure, and suppress the noise sensitivity of the inverse‐scattering computation
    by several orders of magnitude. Incorporating the full wave physics is especially
    crucial for detecting spectral and polarization information that is discarded
    by geometric optics and scalar diffraction theory.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Zin
  full_name: Lin, Zin
  last_name: Lin
- first_name: Charles
  full_name: Roques-Carmes, Charles
  id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  last_name: Roques-Carmes
- first_name: Raphaël
  full_name: Pestourie, Raphaël
  last_name: Pestourie
- first_name: Marin
  full_name: Soljačić, Marin
  last_name: Soljačić
- first_name: Arka
  full_name: Majumdar, Arka
  last_name: Majumdar
- first_name: Steven G.
  full_name: Johnson, Steven G.
  last_name: Johnson
citation:
  ama: Lin Z, Roques-Carmes C, Pestourie R, Soljačić M, Majumdar A, Johnson SG. End‐to‐end
    nanophotonic inverse design for imaging and polarimetry. <i>Nanophotonics</i>.
    2020;10(3):1177-1187. doi:<a href="https://doi.org/10.1515/nanoph-2020-0579">10.1515/nanoph-2020-0579</a>
  apa: Lin, Z., Roques-Carmes, C., Pestourie, R., Soljačić, M., Majumdar, A., &#38;
    Johnson, S. G. (2020). End‐to‐end nanophotonic inverse design for imaging and
    polarimetry. <i>Nanophotonics</i>. Wiley. <a href="https://doi.org/10.1515/nanoph-2020-0579">https://doi.org/10.1515/nanoph-2020-0579</a>
  chicago: Lin, Zin, Charles Roques-Carmes, Raphaël Pestourie, Marin Soljačić, Arka
    Majumdar, and Steven G. Johnson. “End‐to‐end Nanophotonic Inverse Design for Imaging
    and Polarimetry.” <i>Nanophotonics</i>. Wiley, 2020. <a href="https://doi.org/10.1515/nanoph-2020-0579">https://doi.org/10.1515/nanoph-2020-0579</a>.
  ieee: Z. Lin, C. Roques-Carmes, R. Pestourie, M. Soljačić, A. Majumdar, and S. G.
    Johnson, “End‐to‐end nanophotonic inverse design for imaging and polarimetry,”
    <i>Nanophotonics</i>, vol. 10, no. 3. Wiley, pp. 1177–1187, 2020.
  ista: Lin Z, Roques-Carmes C, Pestourie R, Soljačić M, Majumdar A, Johnson SG. 2020.
    End‐to‐end nanophotonic inverse design for imaging and polarimetry. Nanophotonics.
    10(3), 1177–1187.
  mla: Lin, Zin, et al. “End‐to‐end Nanophotonic Inverse Design for Imaging and Polarimetry.”
    <i>Nanophotonics</i>, vol. 10, no. 3, Wiley, 2020, pp. 1177–87, doi:<a href="https://doi.org/10.1515/nanoph-2020-0579">10.1515/nanoph-2020-0579</a>.
  short: Z. Lin, C. Roques-Carmes, R. Pestourie, M. Soljačić, A. Majumdar, S.G. Johnson,
    Nanophotonics 10 (2020) 1177–1187.
date_created: 2026-03-30T12:22:48Z
date_published: 2020-12-23T00:00:00Z
date_updated: 2026-04-27T09:29:25Z
day: '23'
ddc:
- '530'
doi: 10.1515/nanoph-2020-0579
extern: '1'
external_id:
  arxiv:
  - '2006.09145'
intvolume: '        10'
issue: '3'
keyword:
- computational imaging
- end-to-end photonic inverse design
- inverse scattering
- meta-optics
- polarimetry
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1515/nanoph-2020-0579
month: '12'
oa: 1
oa_version: Published Version
page: 1177-1187
publication: Nanophotonics
publication_identifier:
  eissn:
  - 2192-8614
  issn:
  - 2192-8614
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: End‐to‐end nanophotonic inverse design for imaging and polarimetry
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 10
year: '2020'
...
---
OA_place: repository
OA_type: green
_id: '22045'
abstract:
- lang: eng
  text: "We consider the initial-value problem for the cubic-quintic nonlinear Schrödinger
    equation (\U0001D456\U0001D715\U0001D461+Δ)⁢\U0001D713 =\U0001D6FC1⁢\U0001D713
    −\U0001D6FC3⁢|\U0001D713|2⁢\U0001D713 +\U0001D6FC5⁢|\U0001D713|4⁢\U0001D713 in
    three spatial dimensions in the class of solutions with |\U0001D713⁡(\U0001D465)|
    →\U0001D450 >0 as |\U0001D465| →∞. Here \U0001D6FC1, \U0001D6FC3, \U0001D6FC5,
    and \U0001D450 are such that \U0001D713⁡(\U0001D465) ≡\U0001D450 is an energetically
    stable equilibrium solution to this equation. Normalizing the boundary condition
    to \U0001D713⁡(\U0001D465) →1 as |\U0001D465| →∞, we study the associated initial-value
    problem for \U0001D462 =\U0001D713 −1 and prove a scattering result for small
    initial data in a weighted Sobolev space."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
  full_name: Killip, Rowan
  last_name: Killip
- first_name: Jason
  full_name: Murphy, Jason
  last_name: Murphy
- first_name: Monica
  full_name: Visan, Monica
  id: 056daca0-b8d1-11f0-964f-f91054abf8ca
  last_name: Visan
citation:
  ama: Killip R, Murphy J, Vişan M. The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. <i>SIAM Journal on Mathematical Analysis</i>.
    2018;50(3):2681-2739. doi:<a href="https://doi.org/10.1137/17m1116702">10.1137/17m1116702</a>
  apa: Killip, R., Murphy, J., &#38; Vişan, M. (2018). The initial-value problem for
    the cubic-quintic NLS with nonvanishing boundary conditions. <i>SIAM Journal on
    Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics. <a
    href="https://doi.org/10.1137/17m1116702">https://doi.org/10.1137/17m1116702</a>
  chicago: Killip, Rowan, Jason Murphy, and Monica Vişan. “The Initial-Value Problem
    for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions.” <i>SIAM Journal
    on Mathematical Analysis</i>. Society for Industrial &#38; Applied Mathematics,
    2018. <a href="https://doi.org/10.1137/17m1116702">https://doi.org/10.1137/17m1116702</a>.
  ieee: R. Killip, J. Murphy, and M. Vişan, “The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions,” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 50, no. 3. Society for Industrial &#38; Applied Mathematics, pp. 2681–2739,
    2018.
  ista: Killip R, Murphy J, Vişan M. 2018. The initial-value problem for the cubic-quintic
    NLS with nonvanishing boundary conditions. SIAM Journal on Mathematical Analysis.
    50(3), 2681–2739.
  mla: Killip, Rowan, et al. “The Initial-Value Problem for the Cubic-Quintic NLS
    with Nonvanishing Boundary Conditions.” <i>SIAM Journal on Mathematical Analysis</i>,
    vol. 50, no. 3, Society for Industrial &#38; Applied Mathematics, 2018, pp. 2681–739,
    doi:<a href="https://doi.org/10.1137/17m1116702">10.1137/17m1116702</a>.
  short: R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 50
    (2018) 2681–2739.
das_tickbox: '1'
date_created: 2026-06-19T07:49:03Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2026-06-25T07:49:21Z
day: '01'
doi: 10.1137/17m1116702
extern: '1'
external_id:
  arxiv:
  - '1702.04413'
intvolume: '        50'
issue: '3'
keyword:
- cubic-quintic NLS
- nonvanishing boundary conditions
- space-time resonances
- scattering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.1702.04413
mathsc:
- 35Q55
month: '01'
oa: 1
oa_version: Preprint
page: 2681-2739
publication: SIAM Journal on Mathematical Analysis
publication_identifier:
  issn:
  - 0036-1410
  - 1095-7154
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: The initial-value problem for the cubic-quintic NLS with nonvanishing boundary
  conditions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 50
year: '2018'
...