A note on the illposedness for anisotropic nonlinear Schrödinger equation

DOI10.1007/S10114-007-5418-3zbMath1185.35271OpenAlexW2133880775MaRDI QIDQ943528

Xiaoyi Zhang

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-5418-3

zbMATH Keywords

ill-posednessanisotropic Sobolev spaceanisotropic Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (1)

Sharp criterion of global existence for nonlinear Schrödinger equation with a harmonic potential

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions
• On the blow up phenomenon of the critical nonlinear Schrödinger equation
• The cauchy problem for the critical nonlinear Schrödinger equation in Hs
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
• Critical exponents and collapse of nonlinear Schr dinger equations with anisotropic fourth-order dispersion

This page was built for publication: A note on the illposedness for anisotropic nonlinear Schrödinger equation