Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples

DOI10.1016/j.crma.2017.05.011zbMath1375.35491OpenAlexW2626722024WikidataQ124988426 ScholiaQ124988426MaRDI QIDQ2012346

Oana Ivanovici, Gilles Lebeau

Publication date: 31 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.05.011

zbMATH Keywords

wave equationSchrödinger equationsdispersive estimates

Mathematics Subject Classification ID

Related Items (9)

Scattering for 3D cubic focusing NLS on the domain outside a convex obstacle revisited ⋮ Dispersion for the wave equation inside strictly convex domains. II: The general case ⋮ Dispersive estimates for the Schrödinger equation in a model convex domain and applications ⋮ Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications ⋮ Dispersion for the wave equation outside a cylinder in \(\mathbb{R}^3\) ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ Strichartz estimates for the wave equation on a 2D model convex domain ⋮ Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples ⋮ New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain

Cites Work

• Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples
• Global well-posedness and scattering for defocusing energy-critical NLS in the exterior of balls with radial data

This page was built for publication: Dispersion for the wave and the Schrödinger equations outside strictly convex obstacles and counterexamples