Blow up solutions of inhomogeneous nonlinear Schrödinger equations on torus

DOI10.1016/J.NA.2005.01.078zbMath1067.35112OpenAlexW2063241826MaRDI QIDQ1775882

Peter Y. H. Pang, Hongyan Tang, You-De Wang

Publication date: 4 May 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.078

zbMATH Keywords

Cauchy problemblow upinhomogeneous nonlinear Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for nonlinear higher-order PDEs (35G25)

Related Items (1)

Global existence and blow-up solutions of the radial Schrödinger maps

Cites Work

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• L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• A necessary condition for \(H^ \infty\)-well-posed Cauchy problem of Schrödinger type equations with variable coefficients
• Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power
• Existence of solitary waves in higher dimensions
• Schrödinger flow of maps into symplectic manifolds
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Concentration properties of blow-up solutions and instability results for Zakharov equation in dimension two. II
• On the Cauchy problem for Schrödinger type equations and the regularity of solutions
• Two singular dynamics of the nonlinear Schrödinger equation on a plane domain
• Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation
• Local existence for inhomogeneous Schrödinger flow into Kähler manifolds
• Local Schrödinger flow into Kähler manifolds
• Lower bounds for the \(L^2\) minimal periodic blow-up solutions of critical nonlinear Schrödinger equation
• On universality of blow up profile for \(L^2\) critical nonlinear Schrödinger equation
• Blow-up solutions of inhomogeneous nonlinear Schrödinger equations
• STRICHARTZ ESTIMATES FOR A SCHRÖDINGER OPERATOR WITH NONSMOOTH COEFFICIENTS
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• A Remark on the Blowing-Up of Solutions to the Cauchy Problem for Nonlinear Schrodinger Equations
• Nonlinear Schrödinger evolution equations
• GLOBAL INHOMOGENEOUS SCHRÖDINGER FLOW
• The Cauchy problem for Schrödinger type equations with variable coefficients
• The Cauchy problem for Schrödinger type equations with variable coefficients
• Self-focusing on bounded domains

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