The “Blow up” problem for a quasilinear Schrödinger equation

DOI10.1063/1.1941089zbMath1110.35085OpenAlexW2050712859MaRDI QIDQ3438535

Jianqing Chen, Fengqiu Su, Bo-ling Guo

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1941089

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (5)

Existence and multiplicity of non-trivial solutions for a class of modified Schrödinger equation with non-coercive potential ⋮ Existence of non-trivial solution for a class of modified Schrödinger-Poisson equations via perturbation method ⋮ Blow up and strong instability result for a quasilinear Schrödinger equation ⋮ Existence and multiplicity of non-trivial solutions for a class of modified Schrödinger-Poisson systems ⋮ Unnamed Item

Cites Work

• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• Decay and scattering of solutions of a nonlinear Schrödinger equation
• Solutions for Quasilinear Schrödinger Equations via the Nehari Method
• Nonlinear propagation of ion-cyclotron modes
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• Nash moser methods for the solution of quasilinear schrödinger equations
• On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension

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