ℕ-measures for branching exit Markov systems and their applications to differential equations

Probability Theory and Related Fields

Volumn 130, Issue 1, 2004, Pages 135-150

  Dynkin, E B ^a   Kuznetsov, S E ^b  

^a Cornell University ^*  (United States)

^b UNIVERSITY OF COLORADO   (United States)

Author keywords

measures; Infinitely divisible Random Measures; Semilinear Elliptic PDEs

Indexed keywords

EID: 4544267697     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0333-8     Document Type: Article

References (7)

1. [Da93] Dawson, D.A.: Measure-valued Markov processes. Lecture Notes Math. 1541, Springer, 1993
2. [DK98] Dynkin, E.B., Kuznetsov, S.E.: Fine topology and fine trace on the boundary associated with a class of quasi-linear partial differential equations. Comm. Pure Appl. Math. 51, 897-936(1998)
3. [DL02] Duquesne, T., Le Gall, J.-F.: Random Trees, Lévy Processes and Spacial Branching Processes. Société Mathématique de France, 2002 Astérisque 281
4. α. J. Func. Anal. 153, 147-186 (1998)
5. [Dy02] Dynkin, E.B.: Diffusions, Superdiffusions and Partial Differential Equations. American Mathematical Society, Providence, R.I., 2002
6. [Ka77] Kallenberg, O.: Random Measures, 3rd. ed., Academic Press, 1977
7. [Ms04] Mselati, B.: Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation. Memoirs of the American Mathematical Society 2004, to appear