Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions
From MaRDI portal
Publication:3948047
DOI10.1002/cpa.3160360102zbMath0487.35065OpenAlexW2042335432MaRDI QIDQ3948047
Publication date: 1983
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160360102
Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (11)
Life–span of classocal solutions to fully nonlinear wave equations ⋮ ASYMPTOTIC POINTWISE BEHAVIOR FOR SYSTEMS OF SEMILINEAR WAVE EQUATIONS IN THREE SPACE DIMENSIONS ⋮ Almost global existence in the plane wave-nonlinear dielectric interaction problem ⋮ Global solutions of nonlinear wave equations in time dependent inhomogeneous media ⋮ Ill-posedness of a quasilinear wave equation in two dimensions for data in \(H^{7/4}\) ⋮ Global solutions for nonlinear wave equations with localized dissipations in exterior domains ⋮ A note on a nonlinear wave equation in two and three space dimensions ⋮ Long time existence of solutions for \({\partial{} ^ 2 \over{} \partial{} T^ 2} u(x,t) + {\partial{} \over{} \partial{} T} \alpha{} (u(x,t)) = {\partial{} ^ 2 \over{} \partial{} X^ 2} \beta{} (u(x,t))\) ⋮ Global existence for systems of wave equations with nonresonant nonlinearities and null forms ⋮ Nonlinear wave equations in exterior domains ⋮ The nonlinear stability of the trivial solution to the Maxwell-Born-Infeld system
This page was built for publication: Lower bounds for the life span of solutions of nonlinear wave equations in three dimensions
