On initial-boundary value problems for one-dimension semilinear wave equations with null conditions

DOI10.1016/J.JDE.2020.11.022zbMath1455.35140OpenAlexW3105054005MaRDI QIDQ828312

Fanshun Wang, Dongbing Zha

Publication date: 8 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.022

zbMATH Keywords

global existencesmall initial datahomogeneous Dirichlet or Neumann boundary values

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (3)

Lifespan estimates of solutions for a coupled system of wave equations with damping terms and negative mass terms \(\ast\) ⋮ On initial-boundary value problems for some one dimensional quasilinear wave equations: global existence, scattering and rigidity ⋮ Blow-up of solutions for the Moore-Gibson-Thompson equations on exterior domain in two dimensions.

Cites Work

• Unnamed Item
• Hyperbolic trapped rays and global existence of quasilinear wave equations
• The global stability of Minkowski space-time in harmonic gauge
• Global existence for a quasilinear wave equation outside of star-shaped domains
• Global solutions and the asymptotic behavior for nonlinear wave equations with small initial data
• Global smooth solutions of 3-D null-form wave equations in exterior domains with Neumann boundary conditions
• Global and almost global existence for general quasilinear wave equations in two space dimensions
• On one-dimension semi-linear wave equations with null conditions
• On one-dimension quasilinear wave equations with null conditions
• Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension
• Global solutions of nonlinear hyperbolic equations for small initial data
• Global Existence of Solutions to Multiple Speed Systems of Quasilinear Wave Equations in Exterior Domains
• The null condition for quasilinear wave equations in two space dimensions. I

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