[{"OA_place":"repository","publication":"Pure and Applied Analysis","status":"public","publisher":"Mathematical Sciences Publishers","page":"1-17","oa":1,"article_processing_charge":"No","_id":"22027","OA_type":"green","external_id":{"arxiv":["2307.00829"]},"quality_controlled":"1","issue":"1","day":"22","date_created":"2026-06-19T07:36:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2307.00829"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","keyword":["dispersive equations","nonlinear wave equation","semilinear wave equation","scattering","inverse scattering","deconvolution"],"intvolume":"         7","mathsc":["35L70","35P25","35R30"],"article_type":"original","extern":"1","language":[{"iso":"eng"}],"volume":7,"date_published":"2025-01-22T00:00:00Z","month":"01","doi":"10.2140/paa.2025.7.1","scopus_import":"1","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."}],"citation":{"short":"N. Hu, R. Killip, M. Vişan, Pure and Applied Analysis 7 (2025) 1–17.","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>.","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.","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.","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>.","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>"},"author":[{"full_name":"Hu, Nicholas","last_name":"Hu","first_name":"Nicholas"},{"full_name":"Killip, Rowan","first_name":"Rowan","last_name":"Killip"},{"last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica"}],"oa_version":"Preprint","year":"2025","title":"Deconvolutional determination of the nonlinearity in a semilinear wave equation","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"arxiv":1,"type":"journal_article","date_updated":"2026-06-24T13:24:38Z"},{"article_processing_charge":"No","_id":"9301","isi":1,"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.","quality_controlled":"1","external_id":{"isi":["000637398300050"],"pmid":["33785597"]},"publication":"Proceedings of the National Academy of Sciences of the United States of America","status":"public","publisher":"National Academy of Sciences","department":[{"_id":"StFr"},{"_id":"EM-Fac"}],"oa":1,"publication_status":"published","keyword":["small-angle X-ray scattering","oxygen reduction","disproportionation","Li-air battery"],"intvolume":"       118","acknowledged_ssus":[{"_id":"EM-Fac"}],"issue":"14","pmid":1,"date_created":"2021-03-31T07:00:01Z","day":"06","main_file_link":[{"open_access":"1","url":"https://doi.org/10.26434/chemrxiv.11447775"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","month":"04","doi":"10.1073/pnas.2021893118","scopus_import":"1","article_type":"original","language":[{"iso":"eng"}],"date_published":"2021-04-06T00:00:00Z","volume":118,"year":"2021","title":"In situ small-angle X-ray scattering reveals solution phase discharge of Li–O2 batteries with weakly solvating electrolytes","publication_identifier":{"issn":["0027-8424"],"eissn":["1091-6490"]},"type":"journal_article","date_updated":"2025-06-12T06:56:39Z","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."}],"article_number":"e2021893118","citation":{"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).","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.","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.","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>.","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>"},"author":[{"last_name":"Prehal","first_name":"Christian","full_name":"Prehal, Christian"},{"first_name":"Aleksej","last_name":"Samojlov","full_name":"Samojlov, Aleksej"},{"first_name":"Manfred","last_name":"Nachtnebel","full_name":"Nachtnebel, Manfred"},{"last_name":"Lovicar","orcid":"0000-0001-6206-4200","first_name":"Ludek","id":"36DB3A20-F248-11E8-B48F-1D18A9856A87","full_name":"Lovicar, Ludek"},{"last_name":"Kriechbaum","first_name":"Manfred","full_name":"Kriechbaum, Manfred"},{"full_name":"Amenitsch, Heinz","first_name":"Heinz","last_name":"Amenitsch"},{"id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","full_name":"Freunberger, Stefan Alexander","last_name":"Freunberger","first_name":"Stefan Alexander","orcid":"0000-0003-2902-5319"}],"oa_version":"Preprint"},{"article_type":"original","language":[{"iso":"eng"}],"extern":"1","volume":53,"date_published":"2021-01-01T00:00:00Z","month":"01","doi":"10.1137/20m1381824","scopus_import":"1","citation":{"short":"R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 53 (2021) 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>.","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.","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>.","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.","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>"},"abstract":[{"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.","lang":"eng"}],"author":[{"first_name":"Rowan","last_name":"Killip","full_name":"Killip, Rowan"},{"full_name":"Murphy, Jason","first_name":"Jason","last_name":"Murphy"},{"last_name":"Visan","first_name":"Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","full_name":"Visan, Monica"}],"oa_version":"Preprint","year":"2021","title":"Scattering for the cubic-quintic NLS: Crossing the virial threshold","arxiv":1,"type":"journal_article","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"date_updated":"2026-07-01T07:37:46Z","OA_place":"repository","status":"public","publication":"SIAM Journal on Mathematical Analysis","page":"5803-5812","publisher":"Society for Industrial & Applied Mathematics","oa":1,"_id":"22084","article_processing_charge":"No","OA_type":"green","das_tickbox":"1","quality_controlled":"1","external_id":{"arxiv":["2007.07406"]},"issue":"5","date_created":"2026-06-19T08:28:23Z","day":"01","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2007.07406"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","keyword":["NLS","scattering","viral"],"publication_status":"published","intvolume":"        53","mathsc":["35Q55"]},{"article_processing_charge":"No","_id":"21642","OA_type":"gold","ddc":["530"],"external_id":{"arxiv":["2006.09145"]},"quality_controlled":"1","publication":"Nanophotonics","status":"public","OA_place":"publisher","oa":1,"publisher":"Wiley","page":"1177-1187","intvolume":"        10","DOAJ_listed":"1","publication_status":"published","keyword":["computational imaging","end-to-end photonic inverse design","inverse scattering","meta-optics","polarimetry"],"day":"23","date_created":"2026-03-30T12:22:48Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"issue":"3","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1515/nanoph-2020-0579"}],"doi":"10.1515/nanoph-2020-0579","month":"12","scopus_import":"1","extern":"1","language":[{"iso":"eng"}],"article_type":"original","date_published":"2020-12-23T00:00:00Z","volume":10,"title":"End‐to‐end nanophotonic inverse design for imaging and polarimetry","year":"2020","date_updated":"2026-04-27T09:29:25Z","publication_identifier":{"eissn":["2192-8614"],"issn":["2192-8614"]},"arxiv":1,"type":"journal_article","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."}],"citation":{"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>.","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.","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.","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.","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>","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>"},"oa_version":"Published Version","author":[{"full_name":"Lin, Zin","last_name":"Lin","first_name":"Zin"},{"last_name":"Roques-Carmes","first_name":"Charles","id":"e2e68fc9-6505-11ef-a541-eb4e72cc3e82","full_name":"Roques-Carmes, Charles"},{"first_name":"Raphaël","last_name":"Pestourie","full_name":"Pestourie, Raphaël"},{"first_name":"Marin","last_name":"Soljačić","full_name":"Soljačić, Marin"},{"first_name":"Arka","last_name":"Majumdar","full_name":"Majumdar, Arka"},{"last_name":"Johnson","first_name":"Steven G.","full_name":"Johnson, Steven G."}]},{"year":"2018","title":"The initial-value problem for the cubic-quintic NLS with nonvanishing boundary conditions","publication_identifier":{"issn":["0036-1410","1095-7154"]},"arxiv":1,"type":"journal_article","date_updated":"2026-06-25T07:49:21Z","abstract":[{"text":"We consider the initial-value problem for the cubic-quintic nonlinear Schrödinger equation (𝑖𝜕𝑡+Δ)⁢𝜓 =𝛼1⁢𝜓 −𝛼3⁢|𝜓|2⁢𝜓 +𝛼5⁢|𝜓|4⁢𝜓 in three spatial dimensions in the class of solutions with |𝜓⁡(𝑥)| →𝑐 >0 as |𝑥| →∞. Here 𝛼1, 𝛼3, 𝛼5, and 𝑐 are such that 𝜓⁡(𝑥) ≡𝑐 is an energetically stable equilibrium solution to this equation. Normalizing the boundary condition to 𝜓⁡(𝑥) →1 as |𝑥| →∞, we study the associated initial-value problem for 𝑢 =𝜓 −1 and prove a scattering result for small initial data in a weighted Sobolev space.","lang":"eng"}],"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>","short":"R. Killip, J. Murphy, M. Vişan, SIAM Journal on Mathematical Analysis 50 (2018) 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>.","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.","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>.","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."},"author":[{"last_name":"Killip","first_name":"Rowan","full_name":"Killip, Rowan"},{"last_name":"Murphy","first_name":"Jason","full_name":"Murphy, Jason"},{"first_name":"Monica","last_name":"Visan","full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca"}],"oa_version":"Preprint","doi":"10.1137/17m1116702","month":"01","scopus_import":"1","article_type":"original","extern":"1","language":[{"iso":"eng"}],"date_published":"2018-01-01T00:00:00Z","volume":50,"keyword":["cubic-quintic NLS","nonvanishing boundary conditions","space-time resonances","scattering"],"publication_status":"published","intvolume":"        50","mathsc":["35Q55"],"issue":"3","day":"01","date_created":"2026-06-19T07:49:03Z","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1702.04413","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"No","_id":"22045","OA_type":"green","das_tickbox":"1","quality_controlled":"1","external_id":{"arxiv":["1702.04413"]},"OA_place":"repository","publication":"SIAM Journal on Mathematical Analysis","status":"public","publisher":"Society for Industrial & Applied Mathematics","page":"2681-2739","oa":1}]