Local existence, global existence, and scattering for the nonlinear Schrödinger equation
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Publication:2974074
DOI10.1142/S0219199716500383zbMath1365.35149arXiv1603.03204MaRDI QIDQ2974074
Thierry Cazenave, I. P. Naumkin
Publication date: 6 April 2017
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.03204
Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
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Cites Work
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- On the well-posedness for NLS in \(H^s\)
- A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- NON-REGULARITY IN HÖLDER AND SOBOLEV SPACES OF SOLUTIONS TO THE SEMILINEAR HEAT AND SCHRÖDINGER EQUATIONS
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