Semilinear geometric optics for generalized solutions

DOI10.4171/ZAA/990zbMath0982.35060MaRDI QIDQ5938137

Michael Oberguggenberger, Ya-Guang Wang

Publication date: 8 April 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49108

zbMATH Keywords

generalized solutionsCauchy problemnonlinear geometric opticssemilinear hyperbolic systems

Mathematics Subject Classification ID

Cites Work

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• The validity of nonlinear geometric optics for weak solutions of conservation laws
• Weak limits of solutions to semilinear hyperbolic systems
• Nonlinear superposition and absorption of delta waves in one space dimension
• Resonant nonlinear geometric optics for weak solutions of conservation laws
• Nonlinear geometric optics for shock waves. I: Scalar case
• Generalized solutions to semilinear hyperbolic systems
• Resonantly Interacting Weakly Nonlinear Hyperbolic Waves. I. A Single Space Variable
• New Generalized Functions and C^∞ Functions with Values in Generalized Complex Numbers
• Nonlinear geometric optics for two shock waves
• Delta-waves for Semilinear Hyperbolic Cauchy Problems
• Multiplication of distributions

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