Sharp threshold of global existence for a nonlocal nonlinear Schrödinger system in \(\mathbb{R}^3\)
DOI10.1007/S11401-018-0123-3zbMath1408.35171OpenAlexW2904824748MaRDI QIDQ1713519
Xin Jiang, Jing Li, Zai-Hui Gan
Publication date: 25 January 2019
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-018-0123-3
Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Blow-up in context of PDEs (35B44)
Cites Work
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- Small solutions to nonlinear Schrödinger equations
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The global Cauchy problem for the nonlinear Schrödinger equation revisited
- On solutions on the initial value problem for the nonlinear Schrödinger equations
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Long range scattering for nonlinear Schrödinger and Hartree equations in space dimension \(n\geq{}2\)
- On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
- The Cauchy problem for a generalized Zakharov system
- 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
- Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
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