Scattering for 2D quasilinear wave equations with null conditions

DOI10.1186/s13661-022-01663-5zbMath1501.35264OpenAlexW4308337728MaRDI QIDQ2098278

Daoyin He, Yaqing Sun

Publication date: 17 November 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-022-01663-5

zbMATH Keywords

two dimensionslong-time behaviorquasilinear wave equationnull conditions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Estimates of eigenvalues in context of PDEs (35P15) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• Lectures on nonlinear hyperbolic differential equations
• Global well-posedness for 2D nonlinear wave equations without compact support
• Global solutions of the gravity-capillary water-wave system in three dimensions
• Scattering for the quasilinear wave equations with null conditions in two dimensions
• Global small data smooth solutions of 2-D null-form wave equations with non-compactly supported initial data
• Global Solutions for 3D Quadratic Schrodinger Equations
• Approximation Près du Temps d’Explosion des Solutions d’Équations d’Onde Quasi-Linéaires en Dimension Deux
• On the Global Behavior of Weak Null Quasilinear Wave Equations
• Global solutions for the gravity water waves equation in dimension 3
• The null condition for quasilinear wave equations in two space dimensions. I