Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\)

DOI10.4310/DPDE.2011.V8.N3.A4zbMath1256.35144MaRDI QIDQ448903

Jian Zhang, Shihui Zhu

Publication date: 7 September 2012

Published in: Dynamics of Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

blow-up solutionprofile decompositionDavey-Stewartson systemsharp criteria

Mathematics Subject Classification ID

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

Related Items (17)

Finite time blow-up for the nonlinear Schrödinger equation in trapped dipolar quantum gases with arbitrarily positive initial energy ⋮ On finite time blow-up for a 3D Davey-Stewartson system ⋮ Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation ⋮ Unnamed Item ⋮ Global analysis for rough solutions to the Davey-Stewartson system ⋮ Concentration for blow-up solutions of the Davey-Stewartson system in \(\mathbb{R}^3\) ⋮ Asymptotic behavior for the Davey-Stewartson system at the mass-energy threshold ⋮ A lower bound on the blow-up rate for the Davey-Stewartson system on the torus ⋮ On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities ⋮ Blow-up dynamics of \(L^2\) solutions for the Davey-Stewartson system ⋮ Blow-up in several points for the Davey-Stewartson system in \(\mathbb{R}^2\) ⋮ Unnamed Item ⋮ A global existence and blow-up threshold for Davey-Stewartson equations in \(\mathbb{R}^3\) ⋮ Stability and instability of standing waves for the fractional nonlinear Schrödinger equations ⋮ On the Davey-Stewartson system with competing nonlinearities ⋮ Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system ⋮ Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities

This page was built for publication: Sharp blow-up criteria for the Davey-Stewartson system in \(\mathbb R^3\)