Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires. (Propagation of local smoothness for solutions of nonlinear hyperbolic equations)

DOI10.5802/aif.1098zbMath0617.35079OpenAlexW2319331025MaRDI QIDQ1821959

Patrick Gérard, Jeffrey Rauch

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_3_65_0

zbMATH Keywords

propagationquasilinearnonlinear hyperbolic equationsLipschitz continuouslocal smoothnessfirst order semilinear

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60)

Related Items

Viscous vortex patches ⋮ Conditional stability up to the final time for backward-parabolic equations with Log-Lipschitz coefficients ⋮ Evolution temporelle d'une poche de tourbillon singuliere ⋮ Persistance de structures géométriques et limite non visqueuse pour les fluides incompressibles en dimension quelconque ⋮ HYPERBOLIC SMOOTHING EFFECT FOR SEMILINEAR WAVE EQUATIONS AT A FOCAL POINT ⋮ A new result on backward uniqueness for parabolic operators ⋮ Well-posedness of hyperbolic initial boundary value problems ⋮ On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point

Cites Work

• Compressible fluid flow and systems of conservation laws in several space variables
• Singularities of solutions to semilinear wave equations
• Propagation de l'analyticite des solutions d'equations non–lineaires de type principal
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
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