Absence of global solutions of a mixed problem for a Schrödinger-type nonlinear evolution equation

DOI10.1134/S0040577918050021zbMath1401.35282OpenAlexW2805416407MaRDI QIDQ1794493

Yanyan Li

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1134/s0040577918050021

zbMATH Keywords

evolution equationglobal solutionnonlinear evolution Schrödinger equationabsence of global solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

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

Cites Work

• Best constant in Sobolev inequality
• Blow up of solutions of the mixed problem for the nonlinear Ginzburg--Landau--Schrödinger evolution equation
• On some sufficient conditions for the blow-up solutions of the nonlinear Ginzburg-Landau-Schrödinger evolution equation
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• [https://portal.mardi4nfdi.de/wiki/Publication:4257011 Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr�dinger equation with critical power]
• Blow-up in Nonlinear Schroedinger Equations-II Similarity structure of the blow-up singularity
• Blow-up in Nonlinear Schroedinger Equations-I A General Review
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