Nonlinear evolutionary Schrödinger equation in the supercritical case

DOI10.1134/S0040577921120035zbMath1486.81099OpenAlexW4200314143MaRDI QIDQ2668227

Yanyan Li

Publication date: 3 March 2022

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

Full work available at URL: https://doi.org/10.1134/s0040577921120035

zbMATH Keywords

Cauchy problemblow-up rateglobal solvabilityinterpolation inequalitysolution blow-upnonlinear 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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Interpolation in approximation theory (41A05) Blow-up in context of PDEs (35B44) Special quantum systems, such as solvable systems (81Q80) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential ⋮ Nonlinear Schrödinger equation with delay and its regularization

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