On the supercritical Schrödinger equation on the exterior of a ball

DOI10.1080/03605302.2021.1881111zbMath1477.35236arXiv2106.16183OpenAlexW3132199911MaRDI QIDQ5164837

Piero D'Ancona

Publication date: 15 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.16183

zbMATH Keywords

exterior problemnonlinear Schrodinger equationsupercritical equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Unnamed Item
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• On the Schrödinger equation outside strictly convex obstacles
• Stein-Weiss and Caffarelli-Kohn-Nirenberg inequalities with angular integrability
• On the spectral theory of elliptic differential operators. I
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
• Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
• Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrö\-dinger equation for radial data
• Global solutions of the nonlinear schrödinger equation in exterior domains
• Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
• Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
• On nonlinear schrödinger equations
• Defocusing Nonlinear Schrödinger Equations
• On uniqueness and stability for supercritical nonlinear wave and Schrodinger equations