Random data Cauchy problem for supercritical Schrödinger equations
DOI10.1016/J.ANIHPC.2009.06.001zbMath1180.35491arXiv0901.4238OpenAlexW1976826622MaRDI QIDQ1044395
Publication date: 18 December 2009
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0901.4238
Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Strong solutions to PDEs (35D35)
Related Items (27)
Cites Work
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- Rotating points for the conformal NLS scattering operator
- Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
- Geometric optics and instability for semi-classical Schrödinger equations
- Instabilities for supercritical Schrödinger equations in analytic manifolds
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Invariant measures for the defocusing nonlinear Schrödinger equation
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Periodic nonlinear Schrödinger equation and invariant measures
- Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- \(L^p\) eigenfunction bounds for the Hermite operator
- Invariant measures for the nonlinear Schrödinger equation on the disc
- Endpoint Strichartz estimates
- Global infinite energy solutions for the cubic wave equation
- LINEAR VS. NONLINEAR EFFECTS FOR NONLINEAR SCHRÖDINGER EQUATIONS WITH POTENTIAL
- Korteweg-de Vries and nonlinear Schrödinger equations: qualitative theory
- Smoothing property for Schrödinger equations with potential superquadratic at infinity.
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