Blow-up for the nonlinear Schrödinger equation in nonisotropic spaces

DOI10.1016/S0362-546X(96)00036-3zbMath0872.35102MaRDI QIDQ3128178

Yvan Martel

Publication date: 2 June 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnonlinear Schrödinger equationblow-up in finite time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (13)

On finite time blow-up for a 3D Davey-Stewartson system ⋮ Strong instability of standing waves for nonlinear Schrödinger equations with a partial confinement ⋮ Ground state energy threshold and blow-up for NLS with competing nonlinearities ⋮ Finite time/infinite time blow-up behaviors for the inhomogeneous nonlinear Schrödinger equation ⋮ Blow-up results for systems of nonlinear Schrödinger equations with quadratic interaction ⋮ Dynamical collapse of cylindrical symmetric dipolar Bose-Einstein condensates ⋮ Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation ⋮ Divergence of Infinite-Variance Nonradial Solutions to the 3D NLS Equation ⋮ Global well-posedness, scattering, and blowup for nonlinear coupled Schrödinger equations in ℝ³ ⋮ Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations ⋮ Global existence and compact attractors for the discrete nonlinear Schrödinger equation ⋮ Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response ⋮ On blow-up criterion for the nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Existence of solitary waves in higher dimensions
• Limit of the solution of a nonlinear Schrödinger equation at blow-up time
• Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations

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