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Volumn 1999, Issue , 1999, Pages 1-12

Log-concavity in some parabolic problems

Author keywords

Concavity maximum principle; Log concavity; Parabolic equation

Indexed keywords


EID: 0347095012     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (14)
  • 1
  • 2
    • 49549132663 scopus 로고
    • On extensions of the Brunn-Minkowsky and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
    • H. J. BRASCAMP, E. H. LIEB, On extensions of the Brunn-Minkowsky and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation, J. Funct. Anal. 22 (1976), 366-389.
    • (1976) J. Funct. Anal. , vol.22 , pp. 366-389
    • Brascamp, H.J.1    Lieb, E.H.2
  • 3
    • 84972581369 scopus 로고
    • Convexity of solutions of semilinear elliptic equations
    • L. A. CAFFARELLI, A. FRIEDMAN, Convexity of solutions of semilinear elliptic equations, Duke Math. J. 52 (1985), 431-456.
    • (1985) Duke Math. J. , vol.52 , pp. 431-456
    • Caffarelli, L.A.1    Friedman, A.2
  • 4
    • 21144484022 scopus 로고
    • Convexity of solutions to some elliptic partial differential equations
    • A. GRECO, G. PORRU, Convexity of solutions to some elliptic partial differential equations, SIAM J. Math. Anal. 24 (1993), 833-839.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 833-839
    • Greco, A.1    Porru, G.2
  • 6
    • 0003269816 scopus 로고
    • Rearrangements and convexity of level sets in PDE
    • Springer-Verlag
    • B. KAWOHL, Rearrangements and convexity of level sets in PDE, Lecture Notes in Math. 1150, Springer-Verlag 1985.
    • (1985) Lecture Notes in Math , vol.1150
    • Kawohl, B.1
  • 7
    • 51049110596 scopus 로고
    • When are solutions to nonlinear elliptic boundary value problems convex?
    • B. KAWOHL, When are solutions to nonlinear elliptic boundary value problems convex? Comm. Partial Differential Equations 10 (1985), 1213-1225.
    • (1985) Comm. Partial Differential Equations , vol.10 , pp. 1213-1225
    • Kawohl, B.1
  • 8
    • 0000292919 scopus 로고
    • Power concavity and boundary value problems
    • A. U. KENNINGTON, Power concavity and boundary value problems, Indiana Univ. Math. J. 34 (1985), 687-704.
    • (1985) Indiana Univ. Math. J. , vol.34 , pp. 687-704
    • Kennington, A.U.1
  • 9
    • 0024065650 scopus 로고
    • Convexity of level curves for an initial value problem
    • A. U. KENNINGTON, Convexity of level curves for an initial value problem, J. Math. Anal. Appl. 133 (1988), 324-330.
    • (1988) J. Math. Anal. Appl. , vol.133 , pp. 324-330
    • Kennington, A.U.1
  • 10
    • 0004108634 scopus 로고
    • Capillary surface convexity above convex domains
    • N. J. KOREVAAR, Capillary surface convexity above convex domains, Indiana Univ. Math. J. 32 (1983), 73-82.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 73-82
    • Korevaar, N.J.1
  • 11
    • 0001618951 scopus 로고
    • Convex solutions to nonlinear elliptic and parabolic boundary value problems
    • N. J. KOREVAAR, Convex solutions to nonlinear elliptic and parabolic boundary value problems, Indiana Univ. Math. J. 32 (1983), 603-614.
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 603-614
    • Korevaar, N.J.1
  • 12
    • 84972274267 scopus 로고
    • Maximum principles for parabolic equations
    • G. PORRU, S. SERRA, Maximum principles for parabolic equations, J. Austral. Math. Soc. Ser. A 56 (1994), 41-52.
    • (1994) J. Austral. Math. Soc. Ser. A , vol.56 , pp. 41-52
    • Porru, G.1    Serra, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.