Global self-similar solutions of a class of nonlinear Schrödinger equations

DOI10.1155/2008/836124zbMath1180.35493OpenAlexW1966724954WikidataQ58643836 ScholiaQ58643836MaRDI QIDQ938369

Yao-Jun Ye

Publication date: 19 August 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45269

zbMATH Keywords

Cauchy problemharmonic analysis

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25)

Related Items

Self-similar solutions for nonlinear Schrödinger equations

Cites Work

• Regularity of solutions to nonlinear equations of Schrödinger type
• Scattering theory in the energy space for a class of nonlinear Schrödinger equations
• The global Cauchy problem for the nonlinear Schrödinger equation revisited
• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Time dependent nonlinear Schrödinger equations
• Regular and self-similar solutions of nonlinear Schrödinger equations
• The global Cauchy problem and scattering of solutions for nonlinear Schrödinger equations in \(H^s\).
• Local regularity of solutions to time-dependent Schrödinger equations with smooth potentials
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• Solutions globales et solutions auto-similaires de l'équation des ondes non linéaire
• Low Energy Scattering for Nonlinear Schrödinger Equations in Fractional Order Sobolev Spaces
• Fourier transforms of surface-carried measures and differentiability of surface averages
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