Reflection of Transversal Progressing Waves in Nonlinear Strictly Hyperbolic Mixed Problems

DOI10.2307/2374578zbMath0633.35051OpenAlexW2327224644MaRDI QIDQ3770920

Michael Beals, Guy Metivier

Publication date: 1987

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374578

zbMATH Keywords

smooth coefficientssemilinearcharacteristic surfacesuniform Lopatinski conditionstrictly hyperbolicconormalreflection of regularity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) Second-order nonlinear hyperbolic equations (35L70) Initial-boundary value problems for higher-order hyperbolic equations (35L35)

Related Items (8)

Reflection of transversal progressing waves for semilinear strictly hyperbolic systems ⋮ The Cauchy problem for semilinear hyperbolic systems with discontinuous data ⋮ Problème mixte hyperbolique avec saut sur la condition aux limites. (A mixed hyperbolic problem with jump in the boundary condition) ⋮ Reflection and interaction of progressing waves for semilinear wave equations ⋮ Interaction of shock and conormal singularities for conservation laws ⋮ Transmission of progressing waves across a moving interface ⋮ Singularités des solutions d'équations d'ondes semi-linéaires ⋮ Interaction of conormal waves with strong and weak singularities for semi-linear equations

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