Well-posedness and scattering of inhomogeneous cubic-quintic NLS
From MaRDI portal
Publication:5234056
DOI10.1063/1.5053131zbMath1428.35497arXiv1903.00137OpenAlexW3103497483MaRDI QIDQ5234056
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00137
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) (n)-body potential quantum scattering theory (81U10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Systems of functional equations and inequalities (39B72) Blow-up in context of PDEs (35B44)
Related Items (4)
Global well-posedness and scattering of the defocusing energy-critical inhomogeneous nonlinear Schrödinger equation with radial data ⋮ On the global well-posedness of focusing energy-critical inhomogeneous NLS ⋮ Small data scattering of the inhomogeneous cubic-quintic NLS in 2 dimensions ⋮ On the Focusing Energy-Critical 3D Quintic Inhomogeneous NLS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
- Classification of minimal mass blow-up solutions for an \({L^{2}}\) critical inhomogeneous NLS
- The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field
- Higher order fractional Leibniz rule
- Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Blow-up solutions for the inhomogeneous Schrödinger equation with \(L^2\) supercritical nonlinearity
- On a class of nonlinear inhomogeneous Schrödinger equation
- Sharp global existence and blowing up results for inhomogeneous Schrödinger equations
- Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous non\-linearities
- Sobolev algebras on Lie groups and Riemannian manifolds
- Weighted Strichartz estimates with angular regularity and their applications
- Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
- Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity
- Endpoint Strichartz estimates
- On the Semirelativistic Hartree‐Type Equation
- SOBOLEV INEQUALITIES WITH SYMMETRY
- Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS
This page was built for publication: Well-posedness and scattering of inhomogeneous cubic-quintic NLS