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Volumn 84, Issue 6, 2005, Pages 786-818

Well-posedness of hyperbolic initial boundary value problems

Author keywords

Boundary conditions; Hyperbolic systems of partial differential equations; Loss of derivatives; Weak Lopatinskii condition; Well posedness

Indexed keywords


EID: 18244387966     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2004.10.005     Document Type: Article
Times cited : (34)

References (23)
  • 1
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non-linéaires
    • J.M. Bony Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non-linéaires Ann. Sci. École Norm. Sup. (4) 14 2 1981 209-246
    • (1981) Ann. Sci. École Norm. Sup. (4) , vol.14 , Issue.2 , pp. 209-246
    • Bony, J.M.1
  • 2
    • 0003894892 scopus 로고
    • Analyse fonctionnelle
    • Paris: Masson
    • H. Brezis Analyse fonctionnelle 1983 Masson Paris
    • (1983)
    • Brezis, H.1
  • 4
    • 0001923237 scopus 로고
    • Au delà des opérateurs pseudo-différentiels
    • R.R. Coifman Y. Meyer Au delà des opérateurs pseudo-différentiels Astérisque 57 1978
    • (1978) Astérisque , vol.57
    • Coifman, R.R.1    Meyer, Y.2
  • 6
    • 8844276769 scopus 로고    scopus 로고
    • The stability of compressible vortex sheets in two space dimensions
    • in press
    • J.F. Coulombel, P. Secchi, The stability of compressible vortex sheets in two space dimensions, Indiana Univ. Math. J., 2004, in press
    • (2004) Indiana Univ. Math. J.
    • Coulombel, J.F.1    Secchi, P.2
  • 7
    • 84980082640 scopus 로고
    • Symmetric positive linear differential equations
    • K.O. Friedrichs Symmetric positive linear differential equations Comm. Pure Appl. Math. 11 1958 333-418
    • (1958) Comm. Pure Appl. Math. , vol.11 , pp. 333-418
    • Friedrichs, K.O.1
  • 8
    • 0003018959 scopus 로고
    • Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires
    • P. Gérard J. Rauch Propagation de la régularité locale de solutions d'équations hyperboliques non linéaires Ann. Inst. Fourier (Grenoble) 37 3 1987 65-84
    • (1987) Ann. Inst. Fourier (Grenoble) , vol.37 , Issue.3 , pp. 65-84
    • Gérard, P.1    Rauch, J.2
  • 9
    • 84959959871 scopus 로고
    • Problème mixte hyperbolique quasi-linéaire caractéristique
    • O. Guès Problème mixte hyperbolique quasi-linéaire caractéristique Comm. Partial Differential Equations 15 5 1990 595-645
    • (1990) Comm. Partial Differential Equations , vol.15 , Issue.5 , pp. 595-645
    • Guès, O.1
  • 11
    • 84980172444 scopus 로고
    • Initial boundary value problems for hyperbolic systems
    • H.O. Kreiss Initial boundary value problems for hyperbolic systems Comm. Pure Appl. Math. 23 1970 277-298
    • (1970) Comm. Pure Appl. Math. , vol.23 , pp. 277-298
    • Kreiss, H.O.1
  • 12
    • 84980077365 scopus 로고
    • Local boundary conditions for dissipative symmetric linear differential operators
    • P.D. Lax R.S. Phillips Local boundary conditions for dissipative symmetric linear differential operators Comm. Pure Appl. Math. 13 1960 427-455
    • (1960) Comm. Pure Appl. Math. , vol.13 , pp. 427-455
    • Lax, P.D.1    Phillips, R.S.2
  • 13
    • 0001733359 scopus 로고
    • The stability of multi-dimensional shock fronts
    • A. Majda The stability of multi-dimensional shock fronts Mem. Amer. Math. Soc. 275 1983
    • (1983) Mem. Amer. Math. Soc. , vol.275
    • Majda, A.1
  • 14
    • 84980136536 scopus 로고
    • Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary
    • A. Majda S. Osher Initial-boundary value problems for hyperbolic equations with uniformly characteristic boundary Comm. Pure Appl. Math. 28 5 1975 607-675
    • (1975) Comm. Pure Appl. Math. , vol.28 , Issue.5 , pp. 607-675
    • Majda, A.1    Osher, S.2
  • 15
    • 0013017916 scopus 로고    scopus 로고
    • Stability of multidimensional shocks
    • Birkhäuser Basel
    • G. Métivier Stability of multidimensional shocks Advances in the Theory of Shock Waves 2001 Birkhäuser Basel pp. 25-103
    • (2001) Advances in the Theory of Shock Waves , pp. 25-103
    • Métivier, G.1
  • 17
    • 0001542119 scopus 로고
    • On the disturbed motion of a plane vortex sheet
    • J.W. Miles On the disturbed motion of a plane vortex sheet J. Fluid Mech. 4 1958 538-552
    • (1958) J. Fluid Mech. , vol.4 , pp. 538-552
    • Miles, J.W.1
  • 18
    • 5544260457 scopus 로고
    • Problèmes mixtes hyperboliques non-linéaires
    • Ph.D. Thesis, Université de Rennes I
    • A. Mokrane, Problèmes mixtes hyperboliques non-linéaires, Ph.D. Thesis, Université de Rennes I, 1987
    • (1987)
    • Mokrane, A.1
  • 19
    • 84980139785 scopus 로고
    • 2 is a continuable initial condition for Kreiss' mixed problems
    • 2 is a continuable initial condition for Kreiss' mixed problems Comm. Pure Appl. Math. 25 1972 265-285
    • (1972) Comm. Pure Appl. Math. , vol.25 , pp. 265-285
    • Rauch, J.1
  • 20
    • 84967768753 scopus 로고
    • Differentiability of solutions to hyperbolic initial-boundary value problems
    • J. Rauch F.J. Massey III Differentiability of solutions to hyperbolic initial-boundary value problems Trans. Amer. Math. Soc. 189 1974 303-318
    • (1974) Trans. Amer. Math. Soc. , vol.189 , pp. 303-318
    • Rauch, J.1    Massey III, F.J.2
  • 21
    • 0013356924 scopus 로고
    • Existence pour un problème de l'élastodynamique Neumann non-linéaire en dimension 2
    • M. Sablé-Tougeron Existence pour un problème de l'élastodynamique Neumann non-linéaire en dimension 2 Arch. Rational Mech. Anal. 101 3 1988 261-292
    • (1988) Arch. Rational Mech. Anal. , vol.101 , Issue.3 , pp. 261-292
    • Sablé-Tougeron, M.1
  • 22
    • 0030489957 scopus 로고    scopus 로고
    • Well-posedness of characteristic symmetric hyperbolic systems
    • P. Secchi Well-posedness of characteristic symmetric hyperbolic systems Arch. Rational Mech. Anal. 134 2 1996 155-197
    • (1996) Arch. Rational Mech. Anal. , vol.134 , Issue.2 , pp. 155-197
    • Secchi, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.