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Volumn 43, Issue 5, 2001, Pages 575-590

Existence theorems for fast diffusion equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COMPUTATIONAL GEOMETRY; INITIAL VALUE PROBLEMS; ITERATIVE METHODS; MATHEMATICAL OPERATORS; PROBLEM SOLVING; THEOREM PROVING; THERMAL DIFFUSION IN GASES;

EID: 0035254129     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00220-5     Document Type: Article
Times cited : (5)

References (19)
  • 1
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    • Amann, H.1
  • 4
    • 36749118195 scopus 로고
    • Evolution of a stable profile for a class of nonlinear diffusion equations with fixed boundaries
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    • (1977) J. Math. Phys. , vol.18 , pp. 2108-2115
    • Berryman, J.G.1
  • 6
    • 0000018252 scopus 로고
    • Generation of semi-groups of nonlinear transformations on general banach spaces
    • M.G. Crandall, T.M. Liggett, Generation of semi-groups of nonlinear transformations on general banach spaces, Amer. J. Math. 93 (1971) 265-298.
    • (1971) Amer. J. Math. , vol.93 , pp. 265-298
    • Crandall, M.G.1    Liggett, T.M.2
  • 7
    • 0001235072 scopus 로고
    • On fast diffusion nonlinear heat equations and a related singular elliptic problem
    • P. Daskalopoulos, M.A. del Pino, On fast diffusion nonlinear heat equations and a related singular elliptic problem, Indiana Univ. Math. J. 43 (2) (1994) 703-728.
    • (1994) Indiana Univ. Math. J. , vol.43 , Issue.2 , pp. 703-728
    • Daskalopoulos, P.1    Del Pino, M.A.2
  • 9
    • 0031351679 scopus 로고    scopus 로고
    • On nonlinear parabolic equations of very fast diffusion
    • P. Daskalopoulos, M.A. del Pino, On nonlinear parabolic equations of very fast diffusion, Arch. Rational Mech. Anal. 137 (1997) 363-380.
    • (1997) Arch. Rational Mech. Anal. , vol.137 , pp. 363-380
    • Daskalopoulos, P.1    Del Pino, M.A.2
  • 12
    • 84979117393 scopus 로고
    • Convergence of semigroups with an application to the Carleman equation
    • H.G. Kaper, G.K. Leaf, S. Reich, Convergence of semigroups with an application to the Carleman equation, Math. Methods Appl. Sci. 2 (1980) 303-308.
    • (1980) Math. Methods Appl. Sci. , vol.2 , pp. 303-308
    • Kaper, H.G.1    Leaf, G.K.2    Reich, S.3
  • 13
    • 77950989737 scopus 로고
    • Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics
    • T.G. Kurtz, Convergence of sequences of semigroups of nonlinear operators with an application to gas kinetics, Trans. Amer. Math. Soc. 186 (1973) 259-272.
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 259-272
    • Kurtz, T.G.1
  • 16
    • 51249192577 scopus 로고
    • The central limit theorem for Carleman's equation
    • H.P. McKean, The central limit theorem for Carleman's equation, Israel J. Math. 21 (1975) 54-92.
    • (1975) Israel J. Math. , vol.21 , pp. 54-92
    • McKean, H.P.1
  • 18
    • 84972527065 scopus 로고
    • A fast diffusion equation which generates a monotone semiflow I: Local existence and uniqueness
    • P. Takac, A fast diffusion equation which generates a monotone semiflow I: local existence and uniqueness, Differential Integral Equations 4 (1) (1991) 151-174.
    • (1991) Differential Integral Equations , vol.4 , Issue.1 , pp. 151-174
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  • 19
    • 84972488940 scopus 로고
    • A fast diffusion equation which generates a monotone semiflow II: Global existence and asymptotic behavior
    • P. Takac, A fast diffusion equation which generates a monotone semiflow II: global existence and asymptotic behavior, Differential Integral Equations 4 (1) (1991) 175-187.
    • (1991) Differential Integral Equations , vol.4 , Issue.1 , pp. 175-187
    • Takac, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.