Resonant reflection of multidimensional semilinear oscillations

DOI10.1080/03605309308820998zbMath0788.35078OpenAlexW2502598927MaRDI QIDQ4275306

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Publication date: 26 January 1994

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

Full work available at URL: https://doi.org/10.1080/03605309308820998

zbMATH Keywords

existenceexact solutionDirichlet boundary conditionsapproximate solutionnonlinear geometrical opticsmultidimensional multiphase oscillationsresonant reflection

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Second-order hyperbolic equations (35L10)

Related Items (6)

Nonlinear geometric optics for shock waves. I: Scalar case ⋮ Nonlinear geometric optics for shock waves. II: System case ⋮ Geometric optics with critical vanishing viscosity for one-dimensional semilinear initial value problems ⋮ Reflexions d'oscillations monodimensionnelles ⋮ Unnamed Item ⋮ Nonlinear geometric optics for two shock waves

Cites Work

• Unnamed Item
• Mixed problems for hyperbolic equations. I: Energy inequalities
• Oscillations semi-linéaires multiphasées compatibles en dimension 2 ou 3 d'espace
• Diffractive nonlinear geometric optics with rectification

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