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Volumn 79, Issue 6, 2000, Pages 603-632

Small time boundary behavior of solutions of parabolic equations with noncompatible data

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EID: 0034195698     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(00)00154-9     Document Type: Article
Times cited : (11)

References (12)
  • 2
    • 0001111879 scopus 로고
    • Investigation of the green matrix for a homogeneous parabolic boundary value problem
    • S.D. Éidel'Man and S.D. Ivasishen, Investigation of the green matrix for a homogeneous parabolic boundary value problem, Trans. Moscow Math. Soc. 23 (1970) 179-242.
    • (1970) Trans. Moscow Math. Soc. , vol.23 , pp. 179-242
    • Éidel'man, S.D.1    Ivasishen, S.D.2
  • 4
    • 0002387662 scopus 로고
    • Asymptotics as t → 0 of solutions to the heat equation in a domain with a conical point
    • Russian
    • V. Kozlov, Asymptotics as t → 0 of solutions to the heat equation in a domain with a conical point, Mat. Sb. 136 (1988) 384-395 (Russian); translation in Math. USSR Sb. 64 (1989) 383-395.
    • (1988) Mat. Sb. , vol.136 , pp. 384-395
    • Kozlov, V.1
  • 5
    • 0039070098 scopus 로고
    • V. Kozlov, Asymptotics as t → 0 of solutions to the heat equation in a domain with a conical point,Mat. Sb. 136 (1988) 384-395 (Russian); translation in Math. USSR Sb. 64 (1989) 383-395.
    • (1989) Math. USSR Sb. , vol.64 , pp. 383-395
  • 6
    • 0002111917 scopus 로고
    • Thermal shock in a domain with a crack
    • Russian
    • V. Kozlov, V. Maz'Ya and V. Parton, Thermal shock in a domain with a crack, Prikl. Mat. Mekh. 52 (1988) 318-326 (Russian); translation in J. Appl. Math. Mech. 52 (1988) 250-256.
    • (1988) Prikl. Mat. Mekh. , vol.52 , pp. 318-326
    • Kozlov, V.1    Maz'ya, V.2    Parton, V.3
  • 7
    • 0002111917 scopus 로고
    • V. Kozlov, V. Maz'Ya and V. Parton, Thermal shock in a domain with a crack, Prikl. Mat. Mekh.52 (1988) 318-326 (Russian); translation in J. Appl. Math. Mech. 52 (1988) 250-256.
    • (1988) J. Appl. Math. Mech. , vol.52 , pp. 250-256
  • 8
    • 0003703449 scopus 로고
    • Nonlinear elliptic and parabolic equations of the second order
    • Reidel, Norwell, MA
    • N. V. Krylov, Nonlinear elliptic and parabolic equations of the second order, Mathematics and its Applications, Reidel, Norwell, MA, 1987.
    • (1987) Mathematics and its Applications
    • Krylov, N.V.1
  • 9
    • 0032159629 scopus 로고    scopus 로고
    • Estimations optimales en temps petit et près de la frontière pour les solutions de l'équation de la chaleur avec données non-compatibles
    • Y. Martel and P. Souplet, Estimations optimales en temps petit et près de la frontière pour les solutions de l'équation de la chaleur avec données non-compatibles, C. R. Acad. Sci. Paris Sér. I 327 (1998) 575-580.
    • (1998) C. R. Acad. Sci. Paris Sér. I , vol.327 , pp. 575-580
    • Martel, Y.1    Souplet, P.2
  • 11
    • 63949083187 scopus 로고
    • Green matrices for parabolic boundary value problems
    • V.A. Solonnikov, Green matrices for parabolic boundary value problems, Zap. Nauchn. Sem. Leningrad 14 (1969) 132-150.
    • (1969) Zap. Nauchn. Sem. Leningrad , vol.14 , pp. 132-150
    • Solonnikov, V.A.1
  • 12
    • 0000531653 scopus 로고
    • On an Aleksandrov-Bakel'man type maximum principle for second-order parabolic equations
    • K. Tso, On an Aleksandrov-Bakel'man type maximum principle for second-order parabolic equations, Comm. Partial Differential Equations 10 (1985) 543-553.
    • (1985) Comm. Partial Differential Equations , vol.10 , pp. 543-553
    • Tso, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.