Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential
From MaRDI portal
Publication:5020861
DOI10.1137/21M1406003zbMath1483.35229arXiv2006.04321MaRDI QIDQ5020861
Chongchun Zeng, Kai Yang, Xiaoyi Zhang
Publication date: 7 January 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.04321
NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Strong solutions to PDEs (35D35)
Related Items
Dynamics of threshold solutions for energy critical NLW with inverse square potential ⋮ Scattering of the focusing energy-critical NLS with inverse square potential ⋮ Threshold scattering for the focusing NLS with a repulsive potential ⋮ Threshold solutions for the 3 d cubic-quintic NLS ⋮ Threshold Solutions for the Intercritical Inhomogeneous NLS
Cites Work
- Unnamed Item
- Dynamics for the focusing, energy-critical nonlinear Hartree equation
- The energy-critical NLS with inverse-square potential
- Invariant manifolds for flows in Banach spaces
- Dynamic of threshold solutions for energy-critical NLS
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Dynamics for the energy critical nonlinear Schrödinger equation in high dimensions
- Best constant in Sobolev inequality
- Existence of solitary waves in higher dimensions
- Problèmes isoperimetriques et espaces de Sobolev
- Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential
- Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space
- Sobolev spaces adapted to the Schrödinger operator with inverse-square potential
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- On positive entire solutions to a class of equations with a singular coefficient and critical exponent
- Strichartz estimates and wave equation in a conic singular space
- Scattering of the energy-critical NLS with inverse square potential
- Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
- Scattering of the focusing energy-critical NLS with inverse square potential in the radial case
- Dynamics for the energy critical nonlinear wave equation in high dimensions
- Dynamics of Threshold Solutions for Energy-Critical Wave Equation
- The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher
- Endpoint Strichartz estimates
- Description of the lack of compactness for the Sobolev imbedding
- Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d=4
- Scattering of the focusing energy-critical NLS with inverse square potential
This page was built for publication: Dynamics of Threshold Solutions for Energy Critical NLS with Inverse Square Potential