The life span of the solutions to Cauchy problems for nonlinear wave equations

DOI10.1016/0362-546X(89)90038-2zbMath0705.35017OpenAlexW2025900089MaRDI QIDQ3485266

Yunmei Chen

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90038-2

zbMATH Keywords

Cauchy problemnonlinear wave equationslife spanLorentz transform

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

• On the classical solvability of the Cauchy problem for nonlinear wave equations with small initial values and the asymptotic behavior of the solutions
• Global solutions of nonlinear hyperbolic equations for small initial data
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Global existence for nonlinear wave equations

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