Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation

DOI10.1134/S0081543813080129zbMath1291.35258MaRDI QIDQ2446241

V. Zh. Sakbaev

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger equationblow-up solution

Mathematics Subject Classification ID

Semilinear parabolic equations (35K58) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Blow-up of states in the dynamics given by the Schrödinger equation with a power-law nonlinearity in the potential ⋮ Nonlinear evolutionary Schrödinger equation in the supercritical case ⋮ Nonlinear Schrödinger equation with delay and its regularization ⋮ Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation ⋮ Dynamics of a set of quantum states generated by a nonlinear Liouville-von Neumann equation ⋮ Feynman formulas for nonlinear evolution equations ⋮ Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation ⋮ Phase flows generated by Cauchy problem for nonlinear Schrödinger equation and dynamical mappings of quantum states ⋮ Notion of blowup of the solution set of differential equations and averaging of random semigroups

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