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Volumn 23, Issue 2, 1990, Pages 495-500

A simplified version of the abstract cauchy-kowalewski theorem with weak singularities

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EID: 84968519480     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1990-15962-2     Document Type: Article
Times cited : (35)

References (13)
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    • (1988) Proc. Japan Acad. Ser. a Math. Sci. , vol.64 , pp. 102-105
    • Asano, K.1
  • 3
    • 0007028784 scopus 로고
    • Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems
    • M. S. Baouendi and C. Goulaouic, Remarks on the abstract form of nonlinear Cauchy-Kovalevsky theorems, Comm. Partial Differential Equations 2 (1977), 1151–1162.
    • (1977) Comm. Partial Differential Equations , vol.2 , pp. 1151-1162
    • Baouendi, M.S.1    Goulaouic, C.2
  • 4
    • 84990556256 scopus 로고
    • Long time existence for a slightly perturbed vortex sheet
    • R. E. Caflisch and O. F. Orellana, Long time existence for a slightly perturbed vortex sheet, Comm. Pure Appl. Math. 39 (1986), 807–838.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 807-838
    • Caflisch, R.E.1    Orellana, O.F.2
  • 5
    • 0001747831 scopus 로고
    • Singularity formulation and ill-posedness for vortex sheets
    • ——, Singularity formulation and ill-posedness for vortex sheets, SIAM J Math. Anal. 20 (1988), 293–307.
    • (1988) SIAM J Math. Anal. , vol.20 , pp. 293-307
    • Caflisch, R.E.1    Orellana, O.F.2
  • 6
    • 0001528484 scopus 로고
    • Convergence of the vortex method for vortex sheets
    • R. E. Caflisch and J. Lowengrub, Convergence of the vortex method for vortex sheets, SIAM J. Numer. Anal. 26 (1989), 1060–1080.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1060-1080
    • Caflisch, R.E.1    Lowengrub, J.2
  • 8
    • 0040325565 scopus 로고
    • Sur les ondes de surface de l’eau avec une justification mathematique des equations des ondes en eau peu profonde
    • T. Kano and T. Nishida, Sur les ondes de surface de l’eau avec une justification mathematique des equations des ondes en eau peu profonde, J. Math. Kyoto Univ. 19 (1979), 335–370.
    • (1979) J. Math. Kyoto Univ. , vol.19 , pp. 335-370
    • Kano, T.1    Nishida, T.2
  • 9
    • 84972536320 scopus 로고
    • An abstract form of the nonlinear Cauchy-Kowalewski theorem
    • L. Nirenberg, An abstract form of the nonlinear Cauchy-Kowalewski theorem, J. Differential Geom. 6 (1972), 561–576.
    • (1972) J. Differential Geom. , vol.6 , pp. 561-576
    • Nirenberg, L.1
  • 10
    • 84972513394 scopus 로고
    • A note on a theorem of Nirenberg
    • T. Nishida, A note on a theorem of Nirenberg, J. Differential Geom. 12 (1977), 629–633.
    • (1977) J. Differential Geom. , vol.12 , pp. 629-633
    • Nishida, T.1
  • 11
    • 0000464203 scopus 로고
    • Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation
    • ——, Fluid dynamical limit of the nonlinear Boltzmann equation to the level of the compressible Euler equation, Comm. Math. Phys. 61 (1978), 119–148.
    • (1978) Comm. Math. Phys. , vol.61 , pp. 119-148
    • Nishida, T.1
  • 12
    • 0001168246 scopus 로고
    • A nonlinear Cauchy problem in a scale of Banach spaces
    • L. V. Ovsjannikov, A nonlinear Cauchy problem in a scale of Banach spaces, Sov. Math. Dokl. 12 (1971), 1497–1502.
    • (1971) Sov. Math. Dokl. , vol.12 , pp. 1497-1502
    • Ovsjannikov, L.V.1
  • 13
    • 0038247451 scopus 로고
    • Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability
    • P. Sulem, C. Sulem, C. Bardos, and U. Frisch, Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability, Comm. Math. Phys. 80 (1981), 485–516.
    • (1981) Comm. Math. Phys. , vol.80 , pp. 485-516
    • Sulem, P.1    Sulem, C.2    Bardos, C.3    Frisch, U.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.