A new relation between diffusions and superdiffusions with applications to the equation lu = uα

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 4, 1997, Pages 439-444

  Dynkin, Eugene B ^a  

^a Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031206164     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)85632-7     Document Type: Article

References (8)

1. Dynkin E. B., 1991. A probabilistic approach to one class of nonlinear differential equations, Probab. Th. Rel. Fields, 89, pp. 89-115.
2. Dynkin E. B., 1992. Superdiffusions and parabolic nonlinear differential equations, Ann. Probab., 20, pp. 942-962.
3. Dynkin E. B., 1993. Superprocesses and partial differential equations, Ann. Probab., 21, pp. 1185-1262.
4. Dynkin E. B., 1994. An introduction to branching measure-valued processes, American Mathematical Society, Providence, R. I.
5. Dynkin E. B. and Kuznetsov S. E., 1959-1987, 1996. Linear additive functional of superdiffusions and related nonlinear p.d.e., Trans. Amer. Math. Soc., 348, p. 1959-1987.
6. Dynkin E. B., 1996. Superdiffusions and removable singularities for quasilinear partial differential equations, Comm. Pure & Appl. Math., 49, pp. 125-176.
7. Dynkin E. B., 1996. Natural linear additive functionals of superprocesses, Ann. Probab., to appear.
8. Dynkin E. B., 1996. Nonlinear parabolic p.d.e. and additive functionals of superdiffusions, Ann. Probab., to appear.