Mass concentration for nonlinear Schrödinger equation with partial confinement
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Publication:2326013
DOI10.1016/j.jmaa.2019.123484zbMath1428.35534OpenAlexW2972935655MaRDI QIDQ2326013
Publication date: 4 October 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123484
nonlinear Schrödinger equationblow-up solutionmass concentrationpartial confinementvariational characteristic
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items
Cross-constrained variational method and nonlinear Schrödinger equation with partial confinement, Sharp condition for global existence of supercritical nonlinear Schrödinger equation with a partial confinement, Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement
Cites Work
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- Minimal mass blow up solutions for a double power nonlinear Schrödinger equation
- Existence and stability of standing waves for supercritical NLS with a partial confinement
- Limit behavior of blow-up solutions for critical nonlinear Schrödinger equation with harmonic potential.
- L\({}^ 2\) concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
- Limiting profile of blow-up solutions for the Gross-Pitaevskii equation
- 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
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Mathematical theory and numerical methods for Bose-Einstein condensation
- Scattering for nonlinear Schrödinger equation under partial harmonic confinement
- The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation
- Stability of theD-Dimensional Nonlinear Schrödinger Equation under Confined Potential
- Nonlinear aspects of the theory of Bose-Einstein condensates
- A note on concentration for blowup solutions to supercritical Schrödinger equations
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- Rate of L2 concentration of blow-up solutions for the nonlinear schrödinger equation with critical power
- 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
- CRITICAL NONLINEAR SCHRÖDINGER EQUATIONS WITH AND WITHOUT HARMONIC POTENTIAL
- Rate of $L^2$-concentration of blow-up solutions for critical nonlinear Schrödinger equation
- Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
- Collapses of Wavefunctions in Multi-Dimensional Nonlinear Schrödinger Equations under Harmonic Potential
- Stability of attractive Bose-Einstein condensates
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.