Blowup in the nonlinear Schrödinger equation near critical dimension

DOI10.1006/jmaa.2001.7814zbMath1027.35132OpenAlexW2070693549MaRDI QIDQ1604263

Tasso J. Kaper, Vivi Rottschäfer

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7814

zbMATH Keywords

self-similar solutioncubic nonlinear Schrödinger equationcritical dimensionblow-up phenomena

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (8)

Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities ⋮ Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation ⋮ Blow-up dynamics in the mass super-critical NLS equations ⋮ Multi-bump, self-similar, blow-up solutions of the Ginzburg-Landau equation ⋮ Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations ⋮ Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise ⋮ Transient behavior of collapsing ring solutions in the critical nonlinear Schrödinger equation ⋮ Logarithmic and hyperbolic spirals associated with Schrödinger's equation

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