@article{22027,
  abstract     = {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.},
  author       = {Hu, Nicholas and Killip, Rowan and Visan, Monica},
  issn         = {2578-5885},
  journal      = {Pure and Applied Analysis},
  keywords     = {dispersive equations, nonlinear wave equation, semilinear wave equation, scattering, inverse scattering, deconvolution},
  number       = {1},
  pages        = {1--17},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Deconvolutional determination of the nonlinearity in a semilinear wave equation}},
  doi          = {10.2140/paa.2025.7.1},
  volume       = {7},
  year         = {2025},
}

@article{22042,
  abstract     = {We study the L p-theory for the Schrödinger operatorLa with inverse-square potential
a|x|^−2. Our main result describes when L p-based Sobolev spaces defined in terms of the
operator (La)^s/2 agree with those defined via (−)^s/2.We consider all regularities 0 < s < 2.
In order to make the paper self-contained, we also review (with proofs) multiplier theorems,
Littlewood–Paley theory, and Hardy-type inequalities associated to the operator La.},
  author       = {Killip, R. and Miao, C. and Visan, Monica and Zhang, J. and Zheng, J.},
  issn         = {1432-1823},
  journal      = {Mathematische Zeitschrift},
  number       = {3-4},
  pages        = {1273--1298},
  publisher    = {Springer Nature},
  title        = {{Sobolev spaces adapted to the Schrödinger operator with inverse-square potential}},
  doi          = {10.1007/s00209-017-1934-8},
  volume       = {288},
  year         = {2018},
}

