Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential

DOI10.1063/1.3371246zbMath1310.35211OpenAlexW2058054058MaRDI QIDQ5249152

Pigong Han, Dao-Min Cao

Publication date: 29 April 2015

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

Full work available at URL: https://doi.org/10.1063/1.3371246

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Blow-up in context of PDEs (35B44)

Related Items

Blow-up solutions for a class of divergence Schrödinger equations with intercritical inhomogeneous nonlinearity ⋮ Mass concentration phenomenon for inhomogeneous fractional Hartree equations ⋮ Global existence and blow-up solutions of the radial Schrödinger maps ⋮ Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation ⋮ Limit of the blow-up solution for the inhomogeneous nonlinear Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear Schrödinger equations and sharp interpolation estimates
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
• 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
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• On the Cauchy problem for Schrödinger type equations and the regularity of solutions
• Local existence for inhomogeneous Schrödinger flow into Kähler manifolds
• Smoothing effects for Schrödinger evolution equation and global behavior of geodesic flow
• Schrödinger flow on Hermitian locally symmetric spaces
• Smoothing effects of Schrödinger evolution groups on Riemannian manifolds
• Blow-up solutions of inhomogeneous nonlinear Schrödinger equations
• The Cauchy problem for non-autonomous nonlinear Schrödinger equation
• On the structure and formation of singularities in solutions to nonlinear dispersive evolution equations
• Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
• On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
• EFFETS RÉGULARISANTS ET EXISTENCE LOCALE POUR L'ÉQUATION DE SCHRÖDINGER NON-LINÉAIRE À COEFFICIENTS VARIABLES
• The Cauchy problem for Schrödinger type equations with variable coefficients
• Stability of attractive Bose-Einstein condensates
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

This page was built for publication: Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential