Semilinear hyperbolic systems violating the null condition

DOI10.1007/s00208-014-1071-1zbMath1320.35203arXiv1206.0066OpenAlexW2064934309MaRDI QIDQ2255280

Soichiro Katayama, Hideaki Sunagawa, Toshiaki Matoba

Publication date: 9 February 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0066

zbMATH Keywords

global existencethree space dimensions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial value problems for second-order hyperbolic systems (35L52)

Related Items

Energy decay for small solutions to semilinear wave equations with weakly dissipative structure ⋮ Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition ⋮ Global existence and blow up for systems of nonlinear wave equations related to the weak null condition ⋮ Final state problem for systems of cubic nonlinear Schrödinger equations in one dimension ⋮ Asymptotic behavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions ⋮ Nonlinear Schrödinger systems in 2d with nondecaying final data ⋮ Global existence for a system of multiple-speed wave equations violating the null condition ⋮ Remarks on weaker null conditions for two kinds of systems of semilinear wave equations in three space dimensions ⋮ Asymptotic behavior for a class of derivative nonlinear Schrödinger systems ⋮ Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions ⋮ Global stability of solutions to two-dimension and one-dimension systems of semilinear wave equations ⋮ Small data global existence for a class of quadratic derivative nonlinear Schrödinger systems in two space dimensions ⋮ Final state problem for a quadratic nonlinear Schrödinger system in two space dimensions with mass resonance ⋮ A Fuchsian viewpoint on the weak null condition ⋮ On Agemi-type structural conditions for a system of semilinear wave equations ⋮ Systems of semilinear wave equations with multiple speeds in two space dimensions and a weaker null condition ⋮ Final state problem for a system of nonlinear Schrödinger equations with three wave interaction

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