Well-posedness of hyperbolic initial boundary value problems

Bony, 1981, Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non-linéaires, Ann. Sci. École Norm. Sup. (4), 14, 209, 10.24033/asens.1404 Brezis, 1983 Chazarain, 1982 Coifman, 1978, Au delà des opérateurs pseudo-différentiels, Astérisque, 57 J.F. Coulombel, Weakly stable multidimensional shocks, Ann. Inst. H. Poincaré Anal. Non-Linéaire, 2004, in press J.F. Coulombel, P. Secchi, The stability of compressible vortex sheets in two space dimensions, Indiana Univ. Math. J., 2004, in press Friedrichs, 1958, Symmetric positive linear differential equations, Comm. Pure Appl. Math., 11, 333, 10.1002/cpa.3160110306 Gérard, 1987, Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires, Ann. Inst. Fourier (Grenoble), 37, 65, 10.5802/aif.1098 Guès, 1990, Problème mixte hyperbolique quasi-linéaire caractéristique, Comm. Partial Differential Equations, 15, 595, 10.1080/03605309908820701 Hörmander, 1997 Kreiss, 1970, Initial boundary value problems for hyperbolic systems, Comm. Pure Appl. Math., 23, 277, 10.1002/cpa.3160230304 Lax, 1960, Local boundary conditions for dissipative symmetric linear differential operators, Comm. Pure Appl. Math., 13, 427, 10.1002/cpa.3160130307 Majda, 1983, The stability of multi-dimensional shock fronts, Mem. Amer. Math. Soc., 275 Majda, 1975, Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary, Comm. Pure Appl. Math., 28, 607, 10.1002/cpa.3160280504 Métivier, 2001, Stability of multidimensional shocks, 25 Meyer, 1981, Remarques sur un théorème de J.M. Bony, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II, 1, 1 Miles, 1958, On the disturbed motion of a plane vortex sheet, J. Fluid Mech., 4, 538, 10.1017/S0022112058000653 A. Mokrane, Problèmes mixtes hyperboliques non-linéaires, Ph.D. Thesis, Université de Rennes I, 1987 Rauch, 1972, L2 is a continuable initial condition for Kreiss' mixed problems, Comm. Pure Appl. Math., 25, 265, 10.1002/cpa.3160250305 Rauch, 1974, Differentiability of solutions to hyperbolic initial-boundary value problems, Trans. Amer. Math. Soc., 189, 303 Sablé-Tougeron, 1988, Existence pour un problème de l'élastodynamique Neumann non-linéaire en dimension 2, Arch. Rational Mech. Anal., 101, 261, 10.1007/BF00253123 Secchi, 1996, Well-posedness of characteristic symmetric hyperbolic systems, Arch. Rational Mech. Anal., 134, 155, 10.1007/BF00379552 Taylor, 1979, Rayleigh waves in linear elasticity as a propagation of singularities phenomenon, 273