Regularité conormale classique des problèmes de Cauchy et de reflexion transverse pour un système 2\(\times 2\) semilinéaire. (Classical conormal regularity for Cauchy problems and transversal reflection for a two by two semilinear system)
DOI10.5802/aif.1238zbMath0702.35040OpenAlexW2330682590MaRDI QIDQ914954
Jean Pierre Varenne, Bouchaį Nadir
Publication date: 1990
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_4_849_0
Cauchy problemLopatinski conditionbicharacteristicscharacteristic hypersurfaceclassical conormal regularity
Smoothness and regularity of solutions to PDEs (35B65) First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50) Geometric theory, characteristics, transformations in context of PDEs (35A30) Initial value problems for first-order hyperbolic systems (35L45)
Cites Work
- Calcul symbolique non linéaire pour une onde conormale simple. (Nonlinear symbolic calculus for a simple conormal wave)
- Ondes semi-linéaires conormales par rapport à deux hypersurfaces transverses. (Conormal semilinear waves with respect to two transversal hypersurfaces)
- Discontinuous progressing waves for semilinear systems
- Classical conormal solution of semilinear systems
- Algebraically constructible functions1
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