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Volumn 182, Issue 1, 1999, Pages 1-23

Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions, II

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EID: 0007247538     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392822     Document Type: Article
Times cited : (123)

References (17)
  • 1
    • 0000310274 scopus 로고
    • Existence d'ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels
    • ALINHAC, S., Existence d'ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. Comm. Partial Differential Equations, 14 (1989), 173-230.
    • (1989) Comm. Partial Differential Equations , vol.14 , pp. 173-230
    • Alinhac, S.1
  • 2
    • 21844498863 scopus 로고
    • Approximation près du temps d'explosion des solutions d'équations d'ondes quasilinéaires en dimension deux
    • _ Approximation près du temps d'explosion des solutions d'équations d'ondes quasilinéaires en dimension deux. Siam J. Math. Anal., 26 (1995), 529-565.
    • (1995) Siam J. Math. Anal. , vol.26 , pp. 529-565
  • 3
    • 84974000722 scopus 로고
    • Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux, II
    • _ Temps de vie et comportement explosif des solutions d'équations d'ondes quasi-linéaires en dimension deux, II. Duke Math. J., 73 (1994), 543-560.
    • (1994) Duke Math. J. , vol.73 , pp. 543-560
  • 4
    • 0001354547 scopus 로고
    • Explosion géométrique pour des systèmes quasi-linéaires
    • _ Explosion géométrique pour des systèmes quasi-linéaires. Amer. J. Math., 117 (1995), 987-1017.
    • (1995) Amer. J. Math. , vol.117 , pp. 987-1017
  • 5
    • 0001174717 scopus 로고    scopus 로고
    • Explosion des solutions d'une équation d'ondes quasi-linéaire en deux dimensions d'espace
    • _ Explosion des solutions d'une équation d'ondes quasi-linéaire en deux dimensions d'espace. Comm. Partial Differential Equations, 21 (1996), 923-969.
    • (1996) Comm. Partial Differential Equations , vol.21 , pp. 923-969
  • 6
    • 85033953139 scopus 로고    scopus 로고
    • Blowup of small data solutions for a quasilinear wave equation in two space dimensions
    • _ Blowup of small data solutions for a quasilinear wave equation in two space dimensions. To appear in Ann. of Math.
    • Ann. of Math.
  • 7
    • 0003753185 scopus 로고
    • Blowup for nonlinear hyperbolic equations
    • Birkhäuser Boston, Boston, MA
    • _ Blowup for Nonlinear Hyperbolic Equations. Progr. Nonlinear Differential Equations Appl., 17. Birkhäuser Boston, Boston, MA, 1995.
    • (1995) Progr. Nonlinear Differential Equations Appl. , vol.17
  • 8
    • 85033964397 scopus 로고    scopus 로고
    • Preprint, Université Paris-Sud
    • _ Stability of geometric blowup. Preprint, Université Paris-Sud, 1997.
    • (1997) Stability of Geometric Blowup
  • 9
    • 0004157168 scopus 로고
    • Opérateurs pseudo-différentiels et théorème de Nash Moser
    • Paris
    • ALINHAC, S. & GÉRARD, P., Opérateurs pseudo-différentiels et théorème de Nash Moser. InterEditions, Paris, 1991.
    • (1991) InterEditions
    • Alinhac, S.1    Gérard, P.2
  • 10
    • 0000376890 scopus 로고
    • The lifespan of classical solutions of nonlinear hyperbolic equations
    • Oberwolfach
    • HÖRMANDER, L., The lifespan of classical solutions of nonlinear hyperbolic equations, in Pseudodifferential Operators (Oberwolfach, 1986), pp. 214-280. Lecture Notes in Math., 1256. Springer-Verlag, Berlin-New York, 1986.
    • (1986) Pseudodifferential Operators , pp. 214-280
    • Hörmander, L.1
  • 11
    • 0004034109 scopus 로고
    • Springer-Verlag, Berlin-New York
    • HÖRMANDER, L., The lifespan of classical solutions of nonlinear hyperbolic equations, in Pseudodifferential Operators (Oberwolfach, 1986), pp. 214-280. Lecture Notes in Math., 1256. Springer-Verlag, Berlin-New York, 1986.
    • (1986) Lecture Notes in Math. , vol.1256
  • 12
    • 0003764816 scopus 로고    scopus 로고
    • Lectures on nonlinear hyperbolic differential equations
    • Springer-Verlag, Berlin
    • _ Lectures on Nonlinear Hyperbolic Differential Equations. Math. Appl., 26. Springer-Verlag, Berlin, 1997.
    • (1997) Math. Appl. , vol.26
  • 13
    • 0013208166 scopus 로고
    • Nonlinear wave equations, formation of singularities
    • Amer. Math. Soc., Providence, RI
    • JOHN, F., Nonlinear Wave Equations, Formation of Singularities. Univ. Lecture Ser., 2. Amer. Math. Soc., Providence, RI, 1990.
    • (1990) Univ. Lecture Ser. , vol.2
    • John, F.1
  • 14
    • 84990602599 scopus 로고
    • Uniform decay estimates and the Lorentz invariance of the classical wave equation
    • KLAINERMAN, S., Uniform decay estimates and the Lorentz invariance of the classical wave equation. Comm. Pure Appl. Math., 38 (1985), 321-332.
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 321-332
    • Klainerman, S.1
  • 15
    • 0000870142 scopus 로고
    • The null condition and global existence to nonlinear wave equations
    • Santa Fe, NM
    • _ The null condition and global existence to nonlinear wave equations, in Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1 (Santa Fe, NM, 1984), pp. 293-326.
    • (1984) Nonlinear Systems of Partial Differential Equations in Applied Mathematics , Issue.PART 1 , pp. 293-326
  • 16
    • 0039023539 scopus 로고
    • Amer. Math. Soc., Providence, RI
    • _ The null condition and global existence to nonlinear wave equations, in Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1 (Santa Fe, NM, 1984), pp. 293-326. Lectures in Appl. Math., 23. Amer. Math. Soc., Providence, RI, 1986.
    • (1986) Lectures in Appl. Math. , vol.23
  • 17
    • 0003202932 scopus 로고
    • Compressible fluid flow and systems of conservation laws in several space variables
    • Springer-Verlag, New York-Berlin
    • MAJDA, A., Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables. Appl. Math. Sci., 53. Springer-Verlag, New York-Berlin, 1984.
    • (1984) Appl. Math. Sci. , vol.53
    • Majda, A.1


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