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Volumn 125, Issue 1, 1996, Pages 299-327

Fuchsian equations in sobolev spaces and blow-up

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EID: 0030577743     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1996.0033     Document Type: Article
Times cited : (25)

References (19)
  • 1
    • 0011541448 scopus 로고
    • Systèmes hyperboliques singuliers
    • 1. S. ALINHAC, Systèmes hyperboliques singuliers, Astérisque 19 (1974), 3-25.
    • (1974) Astérisque , vol.19 , pp. 3-25
    • Alinhac, S.1
  • 2
    • 0011541063 scopus 로고
    • preprint No. 93-84, Orsay, Dec.
    • 2. S. ALINHAC, Explosion géométrique pour les systèmes quasi-linéaires, preprint No. 93-84, Orsay, Dec. 1993. See also: Temps de vie précisé et explosion géométrique pour des systèmes quasi-linéaires en dimension un d'espace, preprint No. 94-18, Orsay, March 1994.
    • (1993) Explosion Géométrique Pour les Systèmes Quasi-Linéaires
    • Alinhac, S.1
  • 4
    • 0011601734 scopus 로고
    • Propagation of singularities for fuchsian operators
    • Springer-Verlag, Berlin/New York
    • 3. A. BOVE, J. E. LEWIS AND C. PARENTI, "Propagation of Singularities for Fuchsian Operators," Lect. Notes in Math., Vol. 984, Springer-Verlag, Berlin/New York, 1983.
    • (1983) Lect. Notes in Math. , vol.984
    • Bove, A.1    Lewis, J.E.2    Parenti, C.3
  • 5
    • 84967773646 scopus 로고
    • The blow-up boundary for nonlinear wave equations
    • 4. L. A. CAFFARELLI AND A. FRIEDMAN, The Blow-up Boundary for Nonlinear Wave Equations, Trans. AMS 297 (1986), 223-241; see also: Differentiability of the blow-up curve for one-dimensional wave equations, Arch. Rat. Mech. Anal. 91 (1985), 83-98.
    • (1986) Trans. Ams , vol.297 , pp. 223-241
    • Caffarelli, L.A.1    Friedman, A.2
  • 6
    • 0002234036 scopus 로고
    • Differentiability of the blow-up curve for one-dimensional wave equations
    • 4. L. A. CAFFARELLI AND A. FRIEDMAN, The Blow-up Boundary for Nonlinear Wave Equations, Trans. AMS 297 (1986), 223-241; see also: Differentiability of the blow-up curve for one-dimensional wave equations, Arch. Rat. Mech. Anal. 91 (1985), 83-98.
    • (1985) Arch. Rat. Mech. Anal. , vol.91 , pp. 83-98
  • 7
    • 43949163593 scopus 로고
    • Singularity formation for complex solutions of the 3D incompressible Euler equations
    • 5. R. E. CAFLISCH, Singularity formation for complex solutions of the 3D incompressible Euler equations, Physica D 67 (1993), 1-18; see also the paper by Caflisch et al. in Comm. Pure and Appl. Math. 46 (1993), 453-499, and their references.
    • (1993) Physica D , vol.67 , pp. 1-18
    • Caflisch, R.E.1
  • 8
    • 84990617881 scopus 로고
    • and their references
    • 5. R. E. CAFLISCH, Singularity formation for complex solutions of the 3D incompressible Euler equations, Physica D 67 (1993), 1-18; see also the paper by Caflisch et al. in Comm. Pure and Appl. Math. 46 (1993), 453-499, and their references.
    • (1993) Comm. Pure and Appl. Math. , vol.46 , pp. 453-499
    • Caflisch1
  • 9
    • 0001072134 scopus 로고
    • Commutateurs d'intégrales singulières et opérateurs multi-linéaires
    • 6. R. COIFMAN AND Y. MEYER, Commutateurs d'intégrales singulières et opérateurs multi-linéaires, Ann. Inst. Fourier 28 (1978), 177-202.
    • (1978) Ann. Inst. Fourier , vol.28 , pp. 177-202
    • Coifman, R.1    Meyer, Y.2
  • 11
    • 0003123140 scopus 로고    scopus 로고
    • Quasi-linear equations of evolution with applications to partial differential equations
    • Spectral Theory and Differential Equations, Springer-Verlag, Berlin/New York
    • 8. T. KATO, Quasi-linear equations of evolution with applications to partial differential equations, in "Spectral Theory and Differential Equations," Lect. Notes in Math., Vol. 448, pp. 25-70, Springer-Verlag, Berlin/New York.
    • Lect. Notes in Math. , vol.448 , pp. 25-70
    • Kato, T.1
  • 12
    • 84990617895 scopus 로고
    • Commutator estimates and the Euler and Navier-Stokes equations
    • 9. T. KATO AND G. PONCE, Commutator estimates and the Euler and Navier-Stokes equations, Comm. Pure Appl. Math. 41 (1988), 891-907.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 891-907
    • Kato, T.1    Ponce, G.2
  • 13
    • 84963166073 scopus 로고
    • Blow-up surfaces for nonlinear wave equations, I, II
    • 10. S. KICHENASSAMY AND W. LITTMAN, Blow-up surfaces for nonlinear wave equations, I, II Comm. PDE 18 (1993), 431-452; Comm. PDE 18 (1993), 1869-1899.
    • (1993) Comm. PDE , vol.18 , pp. 431-452
    • Kichenassamy, S.1    Littman, W.2
  • 14
    • 0000269715 scopus 로고
    • 10. S. KICHENASSAMY AND W. LITTMAN, Blow-up surfaces for nonlinear wave equations, I, II Comm. PDE 18 (1993), 431-452; Comm. PDE 18 (1993), 1869-1899.
    • (1993) Comm. PDE , vol.18 , pp. 1869-1899
  • 17
    • 0011596134 scopus 로고
    • Singular hyperbolic systems, I: Existence, uniqueness and differentiability
    • 13. H. TAHARA, Singular hyperbolic systems, I: Existence, uniqueness and differentiability, J. Fac. Sci. Univ. Tokyo Sec. IA 26 (1979), 213-238.
    • (1979) J. Fac. Sci. Univ. Tokyo Sec. IA , vol.26 , pp. 213-238
    • Tahara, H.1
  • 18
    • 0003203437 scopus 로고
    • Pseudodifferential operators and nonlinear PDE
    • Birkhäuser, Boston
    • 14. M. TAYLOR, "Pseudodifferential Operators and Nonlinear PDE," Progress in Mathematics, Vol. 100, Birkhäuser, Boston, 1991.
    • (1991) Progress in Mathematics , vol.100
    • Taylor, M.1
  • 19
    • 0011673694 scopus 로고
    • Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable
    • 15. A. UNTERBERGER, Résolution d'équations aux dérivées partielles dans des espaces de distributions d'ordre de régularité variable, Ann. Inst. Fourier, Grenoble 21, No. 1 (1971), 85-128.
    • (1971) Ann. Inst. Fourier, Grenoble , vol.21 , Issue.1 , pp. 85-128
    • Unterberger, A.1


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