Stability of quasilinear waves in \(1+1\) dimension under null condition

DOI10.1007/S10884-020-09842-7zbMath1472.35242OpenAlexW3011556999MaRDI QIDQ2025683

Shijie Dong

Publication date: 14 May 2021

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-020-09842-7

zbMATH Keywords

weighted energy estimatesnull conditionglobal-in-time solutionsquasilinear waves in \({\mathbb{R}}^{1+1} \)

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear waves in solid mechanics (74J30) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)

Cites Work

• Unnamed Item
• On one-dimension semi-linear wave equations with null conditions
• Global well-posedness for 2D nonlinear wave equations without compact support
• On one-dimension quasilinear wave equations with null conditions
• Remarks on energy approach for global existence of some one-dimension quasilinear hyperbolic systems
• The null condition for quasilinear wave equations in two space dimensions, II
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Global existence for nonlinear wave equations
• The Hyperboloidal Foliation Method
• The null condition for quasilinear wave equations in two space dimensions. I

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