Nonlinear Cauchy problems with small analytic data and the lifespan of their solutions

• Autorzy: Hideshi Yamane
• Języki publikacji: EN

Abstrakty

EN

We study the lifespan of solutions to fully nonlinear second-order Cauchy problems with small real- or complex-analytic data. The nonlinear term is an analytic function in u, ū and their derivatives. We give an outline of the proof based on the method of majorants and the fixed point technique.

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35A01: Existence problems: global existence, local existence, non-existence

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 97
• Numer: 1
• Strony: 153-160

Daty

wydano

2012

Twórcy

autor

Hideshi Yamane

• Department of Mathematical Sciences, Kwansei Gakuin University, Gakuen 2-1, Sanda, Japan 669-1337

Identyfikatory

DOI

10.4064/bc97-0-11