Geometric optics for the Kirchhoff-type equations

DOI10.1007/BF02893077zbMath1027.35074MaRDI QIDQ1411293

Karen Yagdjian

Publication date: 27 October 2003

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

nonlinear integrodifferential systemsKirchhoff-type hyperbolic systemssmall-amplitude high-frequency wave solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Geometric optics (78A05)

Related Items (1)

A class of non-analytic functions for the global solvability of Kirchhoff equation

Cites Work

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• Global existence for nonlinear hyperbolic systems of Kirchhoff type
• On a global solution of some quasilinear hyperbolic equation
• Global solvability for the degenerate Kirchhoff equation with real analytic data
• On a new class of nonlinear wave equations
• On global small solutions of nonlinear Timoshenko's type equations
• On the global solvability of symmetric hyperbolic systems of Kirchhoff type
• Kirchhoff type equations depending on a small parameter
• Infinite systems of nonlinear oscillation equations
• On classical solutions of a quasilinear hyperbolic equation
• On local strong solutions of a nonlinear partial differential equation
• Nonlinear perturbations of the kirchhoff equation
• The Cauchy problem for Kirchhoff equations
• Generalized fourier transforms and global small solutions to kirchhoff equations
• On the Well-Posedness of the Kirchhoff String
• The Lax-Mizohata theorem for Kirchhoff-type equations

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