The Zakharov system in 4D radial energy space below the ground state
From MaRDI portal
Publication:5014718
DOI10.1353/ajm.2021.0039OpenAlexW3206228206MaRDI QIDQ5014718
Publication date: 8 December 2021
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.05794
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40)
Related Items
Below and beyond the mass-energy threshold: scattering for the Hartree equation with radial data in \(d \ge 5\), Decoupling inequality for paraboloid under shell type restriction and its application to the periodic Zakharov system, Stabilization for the Klein–Gordon–Zakharov system, Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022, Concentration compactness for the energy critical Zakharov system, The Zakharov system in dimension \(d \geq 4\), Global wellposedness for the energy-critical Zakharov system below the ground state, Local well-posedness for the Zakharov system in dimension \(d = 2, 3\)
Cites Work
- Global dynamics below the ground state energy for the Zakharov system in the 3D radial case
- New estimates for a time-dependent Schrödinger equation
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Well-posedness and scattering for the Zakharov system in four dimensions
- Energy convergence for singular limits of Zakharov type systems
- Strichartz estimates for the Schrödinger equation with time-periodic \(L^{n/2}\) potentials
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- On the Cauchy problem for the Zakharov system
- On the boundary Strichartz estimates for wave and Schrödinger equations
- Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
- Uniform Sobolev estimates for Schrödinger operators with scaling-critical potentials and applications
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Global dynamics above the ground state energy for the cubic NLS equation in 3D
- Small Energy Scattering for the Zakharov System with Radial Symmetry
- Endpoint Strichartz estimates
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- A new proof of scattering below the ground state for the 3d radial focusing cubic NLS