@article{17231,
  abstract     = {In the class of projective billiards, which contains the usual billiards, we exhibit counter-examples to Ivrii's conjecture, which states that in any planar billiard with smooth boundary the set of periodic orbits has zero measure. The counter-examples are polygons admitting a 2-parameters family of n-periodic orbits, with n being either 3 or any even integer greater than 4.},
  author       = {Fiorebe, Corentin},
  issn         = {1553-5231},
  journal      = {Discrete and Continuous Dynamical Systems- Series A},
  number       = {11},
  pages        = {3287--3301},
  publisher    = {American Institute of Mathematical Sciences},
  title        = {{Examples of projective billiards with open sets of periodic orbits}},
  doi          = {10.3934/dcds.2024059},
  volume       = {44},
  year         = {2024},
}

@article{22030,
  abstract     = {We consider the mass-subcritical NLS in dimensions d>=3 with radial initial data. In the defocusing case, we prove that any solution that remains bounded in the critical Sobolev space throughout its lifespan must be global and scatter. In the focusing case, we prove the existence of a threshold solution that has a compact flow.},
  author       = {Killip, Rowan and Masaki, Satoshi and Murphy, Jason and Visan, Monica},
  issn         = {1553-5231},
  journal      = {Discrete and Continuous Dynamical Systems},
  number       = {1},
  pages        = {553--583},
  publisher    = {American Institute of Mathematical Sciences},
  title        = {{The radial mass-subcritical NLS in negative order Sobolev spaces}},
  doi          = {10.3934/dcds.2019023},
  volume       = {39},
  year         = {2019},
}

@article{22033,
  abstract     = {We consider the defocusing energy-critical nonlinear Schrödinger
equation with inverse-square potential iut = −∆u + a|x|^−2u + |u|^4u in three
space dimensions. We prove global well-posedness and scattering for a >− 1/4 + 1/25. We also carry out the variational analysis needed to treat the focusing case.},
  author       = {Killip, Rowan and Miao, Changxing and Visan, Monica and Zhang, Junyong and Zheng, Jiqiang},
  issn         = {1553-5231},
  journal      = {Discrete and Continuous Dynamical Systems},
  number       = {7},
  pages        = {3831--3866},
  publisher    = {American Institute of Mathematical Sciences},
  title        = {{The energy-critical NLS with inverse-square potential}},
  doi          = {10.3934/dcds.2017162},
  volume       = {37},
  year         = {2017},
}