Nonlinear Cauchy problems with small analytic data

DOI10.1090/S0002-9939-06-08410-3zbMath1117.35051OpenAlexW1554887976MaRDI QIDQ3419914

Hideshi Yamane

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08410-3

zbMATH Keywords

analytic functionsmajorant methodfixed point theoremnonlinear Cauchy problemnonlinear wave equationslife span of solution

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

Nonlinear wave equations and singular solutions ⋮ On the lifespan of solutions to nonlinear Cauchy problems with small analytic data

Cites Work

• Unnamed Item
• Le problème de Goursat non linéaire
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• Lectures on nonlinear hyperbolic differential equations
• THE LAX-MIZOHATA THEOREM FOR NONLINEAR CAUCHY PROBLEMS^*
• Probleme de cauchy pour des equations de kirchhoff generalisees
• Semilinear hyperbolic equations

This page was built for publication: Nonlinear Cauchy problems with small analytic data