On the Cauchy problem for a nonlocal nonlinear Schrödinger equation
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Publication:2081980
DOI10.3934/dcdsb.2022039zbMath1498.35516OpenAlexW4226103192MaRDI QIDQ2081980
Publication date: 30 September 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2022039
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Cites Work
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- Well-posedness and ill-posedness for the cubic fractional Schrödinger equations
- Local well-posedness and blow-up in the energy space for a class of \(L^2\) critical dispersion generalized Benjamin-Ono equations
- A one-dimensional model for dispersive wave turbulence
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Anisotropic Gagliardo-Nirenberg inequality with fractional derivatives
- Decay and analyticity of solitary waves
- Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity
- Microscopic conservation laws for integrable lattice models
- Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations
- Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
- Uniqueness of Radial Solutions for the Fractional Laplacian
- On quadratic Schrödinger equations in R 1+1 : a normal form approach
- On weakly nonlinear modulation of waves on deep water
- Description of the lack of compactness for the Sobolev imbedding
- Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations
- Necessary conditions and sufficient conditions for global existence in the nonlinear Schr\"odinger equation
- Dispersive Perturbations of Burgers and Hyperbolic Equations I: Local Theory
- Introduction to nonlinear dispersive equations
- Dispersive wave turbulence in one dimension
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