Justification of Multidimensional Single Phase Semilinear Geometric Optics

DOI10.2307/2153924zbMath0771.35010OpenAlexW4247739697MaRDI QIDQ4006666

Jean-Luc Joly, Jeffrey Rauch

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2153924

zbMATH Keywords

nonlinear geometric opticssemilinear strictly hyperbolic systemshigh frequency nonlinear asymptotic expansionssemilinear oscillating waves

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Asymptotic expansions of solutions to PDEs (35C20)

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Cites Work

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• Weakly nonlinear high frequency waves
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• Discontinuous progressing waves for semilinear systems
• Resonantly Interacting, Weakly Nonlinear Hyperbolic Waves. II. Several Space Variables
• A Canonical System of lntegrodifferential Equations Arising in Resonant Nonlinear Acoustics
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems

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