A note on lax-mizohata theorem for quasilinear equations

DOI10.1080/03605309808821379zbMath0921.35042OpenAlexW2023098066MaRDI QIDQ4212423

Karen Yagdjian

Publication date: 24 November 1998

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

Full work available at URL: https://doi.org/10.1080/03605309808821379

zbMATH Keywords

gauge transformationstability of solutionswell-posedness of the Cauchy problem

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order nonlinear hyperbolic equations (35L75)

Related Items (4)

The Lax-Mizohata theorem for nonlinear gauge invariant equations ⋮ On hyperbolicity and Gevrey well-posedness. I: The elliptic case ⋮ The Lax-Mizohata theorem for Kirchhoff-type equations ⋮ THE LAX-MIZOHATA THEOREM FOR NONLINEAR CAUCHY PROBLEMS^*

Cites Work

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• Asymptotic solutions of oscillatory initial value problems
• Das Anfangswertproblem im Großen für eine Klasse nichtlinearer Wellengleichungen
• On the existence of global solutions of nonlinear wave equations
• A note on a theorem of Jörgens
• Blowup for nonlinear hyperbolic equations
• Global existence for nonlinear wave equations
• Distribution-valued initial data for the complex ginzburg-landau equation

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