Life-span of classical solutions to two dimensional fully nonlinear wave equations

DOI10.1016/J.JFA.2016.03.016zbMath1339.35184OpenAlexW2313911808MaRDI QIDQ289585

Wei Han, Zhen Jin

Publication date: 30 May 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2016.03.016

zbMATH Keywords

small initial dataStrichartz estimates

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44)

Cites Work

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• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Long‐time behaviour of solutions of a system of nonlinear wave equations
• Initial value problems for nonlinear wave equations
• Life–span of classocal solutions to fully nonlinear wave equations
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹
• Life-span of classical solutions to fully nonlinear wave equations—II
• On the lifespan of solutions of nonlinear wave equations with small initial data
• Blow up of solutions to the Cauchy problem for nonlinear wave equations

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