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Volumn 128, Issue 5, 2004, Pages 355-389

Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations

Author keywords

Degenerate elliptic equations in nonregular domains; Fleming Viot operator; Generation of semigroup; Martingale problem; Stochastic invariance

Indexed keywords


EID: 2342612770     PISSN: 00074497     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bulsci.2004.03.004     Document Type: Article
Times cited : (17)

References (15)
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    • Bass, R.F.1    Perkins, E.A.2
  • 3
    • 0141491961 scopus 로고    scopus 로고
    • On a class of degenerate elliptic operators arising from the Fleming-Viot processes
    • Cerrai S. Clément Ph. On a class of degenerate elliptic operators arising from the Fleming-Viot processes J. Evolution Equations 1 2001 243-276
    • (2001) J. Evolution Equations , vol.1 , pp. 243-276
    • Cerrai, S.1    Clément, Ph.2
  • 4
    • 0141756113 scopus 로고    scopus 로고
    • Schauder estimates for a class of second order elliptic operators on a cube
    • Cerrai S. Clément Ph. Schauder estimates for a class of second order elliptic operators on a cube Bull. Sci. Math. 127 2003 669-688
    • (2003) Bull. Sci. Math. , vol.127 , pp. 669-688
    • Cerrai, S.1    Clément, Ph.2
  • 6
    • 0141856392 scopus 로고    scopus 로고
    • Stochastic viability for compact sets in terms of the distance function
    • Da Prato G. Frankowska H. Stochastic viability for compact sets in terms of the distance function Dynam. Systems Appl. 10 2001 177-184
    • (2001) Dynam. Systems Appl. , vol.10 , pp. 177-184
    • Da Prato, G.1    Frankowska, H.2
  • 8
    • 0001261437 scopus 로고
    • Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems
    • Dawson D.A. March P. Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems J. Funct. Anal. 132 1995 417-472
    • (1995) J. Funct. Anal. , vol.132 , pp. 417-472
    • Dawson, D.A.1    March, P.2
  • 9
    • 84980148617 scopus 로고
    • A class of degenerate diffusion processes occurring in population genetics
    • Ethier S.N. A class of degenerate diffusion processes occurring in population genetics Comm. Pure Appl. Math. 29 1976 483-493
    • (1976) Comm. Pure Appl. Math. , vol.29 , pp. 483-493
    • Ethier, S.N.1
  • 11
    • 0027553844 scopus 로고
    • Fleming-Viot processes in populations genetics
    • Ethier S.N. Kurtz T. Fleming-Viot processes in populations genetics SIAM J. Control Optim. 31 1993 345-386
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 345-386
    • Ethier, S.N.1    Kurtz, T.2
  • 13
    • 0007202416 scopus 로고    scopus 로고
    • Dawson-Watanabe Superprocesses and Measure-Valued Diffusions
    • Berlin: Springer-Verlag
    • Perkins E. Dawson-Watanabe Superprocesses and Measure-Valued Diffusions Ecole d'Eté de Probabilités de Saint Flour 1999 Lecture Notes in Mathematics 2001 Springer-Verlag Berlin
    • (2001) Ecole D'Eté de Probabilités de Saint Flour 1999
    • Perkins, E.1
  • 14
    • 0041112426 scopus 로고
    • Accretive differential operators
    • Sinestrari E. Accretive differential operators Boll. UMI (5) 13-A 1976 19-31
    • (1976) Boll. UMI (5) , vol.13 A , pp. 19-31
    • Sinestrari, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.