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Volumn 132, Issue 4, 2004, Pages 1095-1102

A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time

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EID: 1642290956     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-03-07246-0     Document Type: Conference Paper
Times cited : (93)

References (19)
  • 1
    • 0001127920 scopus 로고
    • Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in 3 + 1 dimensions
    • [CC]. MR 84c:81041
    • [CC] Y. Choquet-Bruhat and D. Christodoulou, Existence of global solutions of the Yang-Mills, Higgs and spinor field equations in 3 + 1 dimensions, Ann. Sci. École Norm. Sup. (4) 14 (1981), 481-506. MR 84c:81041
    • (1981) Ann. Sci. École Norm. Sup. (4) , vol.14 , pp. 481-506
    • Choquet-Bruhat, Y.1    Christodoulou, D.2
  • 2
    • 84990602498 scopus 로고
    • Global solutions of nonlinear hyperbolic equations for small initial data
    • [C1]. MR 87c:35111
    • [C1] D. Christodoulou, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math. 39 (1986), 267-282. MR 87c:35111
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 267-282
    • Christodoulou, D.1
  • 4
    • 84862049240 scopus 로고
    • Solutions globales des équations de Yang et Mills
    • [C3]. MR 82k:58089
    • [C3] _, Solutions globales des équations de Yang et Mills, C. R. Acad. Sci. Paris (Series A) 293 (1981), 139-141. MR 82k:58089
    • (1981) C. R. Acad. Sci. Paris (Series A) , vol.293 , pp. 139-141
  • 7
    • 0002473550 scopus 로고
    • Some classical solutions of relativistic membrane equations in 4-space-time dimensions
    • [Ho1]. MR 95e:81180
    • [Ho1] J. Hoppe, Some classical solutions of relativistic membrane equations in 4-space-time dimensions., Phys. Lett. B 329, No. 1 (1994), 10-14. MR 95e:81180
    • (1994) Phys. Lett. B , vol.329 , Issue.1 , pp. 10-14
    • Hoppe, J.1
  • 8
    • 0347384271 scopus 로고
    • ∞ estimates for the wave operator
    • [Hö1], Gauthier-Villars, Paris. MR 90e:35113
    • ∞ estimates for the wave operator, Analyse Mathématique et Applications, Gauthier-Villars, Paris, 1988, pp. 211-234. MR 90e:35113
    • (1988) Analyse Mathématique et Applications , pp. 211-234
    • Hörmander, L.1
  • 11
    • 84990593419 scopus 로고
    • Almost global existence to nonlinear wave equations in three space dimensions
    • [JK1]. MR 85k:35147
    • [JK1] F. John and S. Klainerman, Almost global existence to nonlinear wave equations in three space dimensions, Comm. Pure Appl. Math. 37 (1984), 443-455. MR 85k:35147
    • (1984) Comm. Pure Appl. Math. , vol.37 , pp. 443-455
    • John, F.1    Klainerman, S.2
  • 12
    • 84990602599 scopus 로고
    • Uniform decay estimates and the Lorentz invariance of the classical wave equation
    • [K1]. MR 86i:35091
    • [K1] S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332. MR 86i:35091
    • (1985) Comm. Pure Appl. Math. , vol.38 , pp. 321-332
    • Klainerman, S.1
  • 13
    • 0000870142 scopus 로고    scopus 로고
    • The null condition and global existence to nonlinear wave equations
    • [K2], Amer. Math. Soc., Providence, RI. MR 87h:35217
    • [K2] _, The null condition and global existence to nonlinear wave equations, Lectures in Applied Mathematics, Vol. 23, Amer. Math. Soc., Providence, RI, pp. 293-326. MR 87h:35217
    • Lectures in Applied Mathematics , vol.23 , pp. 293-326
  • 14
    • 84980178173 scopus 로고
    • Global existence for nonlinear wave equations
    • [K3]. MR 81b:35050
    • [K3] _, Global existence for nonlinear wave equations, Comm. Pure Appl. Math. 33 (1980), 43-101. MR 81b:35050
    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 43-101
  • 15
    • 0009945024 scopus 로고
    • Long time behaviour of solutions to nonlinear wave equations
    • [K4], Warsaw, 1983, PWN, Warsaw
    • [K4] _, Long time behaviour of solutions to nonlinear wave equations, Proceedings of the International Congress of Mathematicians (Warsaw, 1983), PWN, Warsaw, 1984, pp. 1209-1215.
    • (1984) Proceedings of the International Congress of Mathematicians , pp. 1209-1215
  • 16
    • 1642305345 scopus 로고
    • Life-span of classical solutions to nonlinear wave equations in two space dimensions
    • [LZ1]. MR 95c:35174
    • [LZ1] T. Li and Y. Zhou, Life-span of classical solutions to nonlinear wave equations in two space dimensions, J. Math. Pures et Appl. 73(3) (1994), 223-249. MR 95c:35174
    • (1994) J. Math. Pures et Appl. , vol.73 , Issue.3 , pp. 223-249
    • Li, T.1    Zhou, Y.2
  • 17
    • 1642402713 scopus 로고
    • Life-span of classical solutions to fully nonlinear wave equations in two-space-dimensions II
    • [LZ2]. MR 95c:35175
    • [LZ2] T. Li and Y. Zhou, Life-span of classical solutions to fully nonlinear wave equations in two-space-dimensions II, J. Partial Differential Equations 6(1) (1993), 17-38. MR 95c:35175
    • (1993) J. Partial Differential Equations , vol.6 , Issue.1 , pp. 17-38
    • Li, T.1    Zhou, Y.2
  • 18
    • 84990578237 scopus 로고
    • On the lifespan of solutions of nonlinear wave equations with small initial data
    • [L1]. MR 91i:35129
    • [L1] H. Lindblad, On the lifespan of solutions of nonlinear wave equations with small initial data, Comm. Pure Appl. Math. 43 (1990), 445-472. MR 91i:35129
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 445-472
    • Lindblad, H.1
  • 19
    • 84990585783 scopus 로고
    • Global solutions of nonlinear wave equations
    • [L2]. MR 94a:35080
    • [L2] _, Global solutions of nonlinear wave equations, Comm. Pure Appl. Math. 45(9) (1992), 1063-1096. MR 94a:35080
    • (1992) Comm. Pure Appl. Math. , vol.45 , Issue.9 , pp. 1063-1096


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