On the self-trapping of the solutions of the nonlinear Schrödinger evolution equation

DOI10.1134/S0001434611110162zbMath1284.35407OpenAlexW2003266701MaRDI QIDQ2435872

Yanyan Li

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434611110162

zbMATH Keywords

nonlinear Schrödinger equationJensen's inequalityGagliardo-Nirenberg-Sobolev inequalityself-trapping mode

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• An estimate for the best constant in a Sobolev inequality involving three integral norms
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case

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