On nonlinear Schrödinger equations in exterior domains
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Publication:1888401
DOI10.1016/j.anihpc.2003.03.002zbMath1061.35126OpenAlexW2059709710WikidataQ57075460 ScholiaQ57075460MaRDI QIDQ1888401
Nickolay Tzvetkov, Patrick Gérard, Nicolas Burq
Publication date: 23 November 2004
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_3_295_0
smoothing effectnonlinear Schrödingerglobal existence and uniquenessdispersive equationsnon-trapping
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Cites Work
- Unnamed Item
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- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
- Regularity of solutions to the Schrödinger equation
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Decay and regularity for the Schrödinger equation
- Local energy decay of the wave equation in an exterior problem and without resonance in the neighborhood of the real line
- Two singular dynamics of the nonlinear Schrödinger equation on a plane domain
- Semiclassical estimates in asymptotically Euclidean scattering
- Partial differential equations. 1: Basic theory
- Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
- Non-linear semi-groups
- STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
- Global solutions of the nonlinear schrödinger equation in exterior domains
- Singularities of boundary value problems. II
- On smooth solutions to the initial-boundary value problem for the nonlinear schrödinger equation in two space dimensions
- A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- Local Smoothing Properties of Dispersive Equations
- Nonlinear Schrödinger evolution equations
- On global solutions to the initial–boundary value problem for the nonlinear Schrödinger equations in exterior domains
- Singularities of boundary value problems. I
- Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds
- On the Critical Semilinear Wave Equation Outside Convex Obstacles
- The Cauchy Problem for the Nonlinear Schrödinger Equation on a Compact Manifold
- Maximal functions associated to filtrations
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