Blow-up in several points for the nonlinear Schrödinger equation on a bounded domain.

zbMath1249.35303arXiv1004.1905MaRDI QIDQ417000

Nicolas Godet

Publication date: 11 May 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1905

zbMATH Keywords

nonlinear Schrödinger equationblow up\(L^2\)-critical nonlinearity

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)

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Construction of Multibubble Solutions for the Critical GKDV Equation ⋮ Construction of blow-up solutions for Zakharov system on \(\mathbb T^2\) ⋮ Construction of a solitary wave solution of the nonlinear focusing Schrödinger equation outside a strictly convex obstacle in the \(L^2\)-supercritical case ⋮ Blow-up in several points for the Davey-Stewartson system in \(\mathbb{R}^2\)

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