Global existence and the asymptotic behavior for systems of nonlinear wave equations violating the null condition

DOI10.2969/ASPM/08510215zbMath1469.35154OpenAlexW3137884223MaRDI QIDQ2042461

Soichiro Katayama

Publication date: 20 July 2021

Full work available at URL: https://doi.org/10.2969/aspm/08510215

zbMATH Keywords

small data global existencestandard and weak null condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order quasilinear hyperbolic equations (35L72) Initial value problems for second-order hyperbolic systems (35L52)

Related Items (1)

Global existence for systems of nonlinear wave and Klein-Gordon equations in two space dimensions under a kind of the weak null condition

Cites Work

• Unnamed Item
• Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
• Asymptotic behavior of solutions to semilinear wave equations with dissipative structure
• The weak null condition for Einstein's equations.
• Global and almost global existence for general quasilinear wave equations in two space dimensions
• The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions

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