Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation
From MaRDI portal
Publication:5348424
DOI10.1002/mma.4352zbMath1370.35226OpenAlexW2594917210MaRDI QIDQ5348424
Publication date: 15 August 2017
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.4352
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On global solution to the Klein-Gordon-Hartree equation below energy space
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- On small data scattering with cubic convolution nonlinearity
- On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations
- Low energy scttering for nonlinear Klein-Gordon equations
- Decay estimates for fourth order wave equations
- Stability and instability of fourth-order solitary waves
- Time decay for the nonlinear beam equation
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Energy scattering for a Klein-Gordon equation with a cubic convolution
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Scattering and the Levandosky-Strauss conjecture for fourth-order nonlinear wave equations
- THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
- Scattering for the defocusing Beam equation in low dimensions
- Threshold solutions in the case of mass-shift for the critical Klein-Gordon equation
- The defocusing energy-critical Klein–Gordon–Hartree equation
- Remarks on the energy scattering for nonlinear Klein-Gordon and Schrödinger equations
This page was built for publication: Global well-posedness and scattering of a generalized nonlinear fourth-order wave equation