Nonlinear evolutionary Schrödinger equation in a two-dimensional domain

DOI10.1134/S0040577919100088zbMath1436.81033OpenAlexW2988538501MaRDI QIDQ1989270

Yanyan Li

Publication date: 21 April 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919100088

zbMATH Keywords

global solvabilitydestructionnonlinear evolutionary Schrödinger equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Special quantum systems, such as solvable systems (81Q80)

Related Items (4)

Nonlinear evolutionary Schrödinger equation in the supercritical case ⋮ Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation ⋮ Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation ⋮ On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation

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• Non-linear semi-groups
• Nonlinear Schrödinger evolution equations
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity

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