THE LAX-MIZOHATA THEOREM FOR NONLINEAR CAUCHY PROBLEMS*

DOI10.1081/PDE-100106137zbMath1001.35003MaRDI QIDQ2769491

Seiichiro Wakabayashi

Publication date: 2 January 2003

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

geometric opticsconstruction of asymptotic solutionsnon-characteristic Cauchy problems

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

Ill-posedness of the hydrostatic Euler and singular Vlasov equations ⋮ Unnamed Item ⋮ On hyperbolicity and Gevrey well-posedness. I: The elliptic case ⋮ Nonlinear Cauchy problems with small analytic data

Cites Work

• Asymptotic solutions of oscillatory initial value problems
• Some remarks on the Cauchy problem
• The Lax-Mizohata theorem for nonlinear gauge invariant equations
• Weakly nonlinear high frequency waves
• A note on lax-mizohata theorem for quasilinear equations

This page was built for publication: THE LAX-MIZOHATA THEOREM FOR NONLINEAR CAUCHY PROBLEMS^*