Quintic NLS in the exterior of a strictly convex obstacle

DOI10.1353/ajm.2016.0039zbMath1366.35169arXiv1208.4904OpenAlexW2963821285MaRDI QIDQ2978145

Rowan Killip, Monica Visan, Xiaoyi Zhang

Publication date: 21 April 2017

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4904

zbMATH Keywords

Dirichlet boundary conditionsinitial-value problemenergy spaceglobal well-posedness

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (25)

Scattering for critical radial Neumann waves outside a ball ⋮ Scattering for a nonlinear Schrödinger equation with a potential ⋮ Analytic properties of heat equation solutions and reachable sets ⋮ Refined mass-critical Strichartz estimates for Schrödinger operators ⋮ Scattering of the focusing energy-critical NLS with inverse square potential in the radial case ⋮ Scattering below the ground state for the intercritical non-radial inhomogeneous NLS ⋮ Asymptotics of wave models for non star-shaped geometries ⋮ The focusing NLS on exterior domains in three dimensions ⋮ Energy-critical NLS with potentials of quadratic growth ⋮ Double scattering channels for 1\(D\) NLS in the energy space and its generalization to higher dimensions ⋮ Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations ⋮ Scattering of the focusing energy-critical NLS with inverse square potential ⋮ A Deterministic Optimal Design Problem for the Heat Equation ⋮ Riesz transforms in the absence of a preservation condition, with applications to the Dirichlet Laplacian ⋮ Global Strichartz estimates for the Schrödinger equation with non zero boundary conditions and applications ⋮ Observability for Schrödinger equations with quadratic Hamiltonians ⋮ The energy-critical NLS with inverse-square potential ⋮ Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation on \({\mathbb{R}^3}\) ⋮ On the nonlinear regularized Schrödinger equation in exterior domains ⋮ Global regularity for the energy-critical NLS on \(\mathbb S^3\) ⋮ On 2D nonlinear Schrödinger equation on non-trapping exterior domains ⋮ The energy-critical nonlinear wave equation with an inverse-square potential ⋮ Scattering of the energy-critical NLS with inverse square potential ⋮ Threshold solutions in the focusing 3D cubic NLS equation outside a strictly convex obstacle ⋮ Scattering for critical wave equations with variable coefficients

This page was built for publication: Quintic NLS in the exterior of a strictly convex obstacle