Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D

DOI10.1080/03605302.2014.967356zbMath1328.35208arXiv1405.0995OpenAlexW2952983485MaRDI QIDQ5256311

Rémi Carles, Tohru Ozawa

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1405.0995

zbMATH Keywords

collapsesublinear dissipation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30)

Related Items (12)

Schrödinger-improved Boussinesq system in two space dimensions ⋮ Vanishing dispersion limit for Schrödinger-improved Boussinesq system in two space dimensions ⋮ Unnamed Item ⋮ Zakharov system in two space dimensions ⋮ A note on the nonlinear Schrödinger equation in a general domain ⋮ Finite time extinction for a damped nonlinear Schr{\"o}dinger equation in the whole space ⋮ A conservation law with spatially localized sublinear damping ⋮ Finite time extinction for the strongly damped nonlinear Schrödinger equation in bounded domains ⋮ On damped non-linear Choquard equations ⋮ Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity ⋮ Finite time extinction for a critically damped Schrödinger equation with a sublinear nonlinearity ⋮ On a system of semirelativistic equations in the energy space

Cites Work

• Unnamed Item
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• On critical cases of Sobolev's inequalities
• Schrödinger operators with singular potentials
• Global Well-Posedness for Cubic NLS with Nonlinear Damping
• Finite Time Extinction by Nonlinear Damping for the Schrödinger Equation
• Madelung, Gross–Pitaevskii and Korteweg
• Continuity of Solutions of Parabolic and Elliptic Equations
• Nonlinear Schrödinger evolution equations
• Strichartz inequalities and the nonlinear Schrodinger equation on compact manifolds

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