The heat equation with Lévy noise 1

Stochastic Processes and their Applications

Volumn 74, Issue 1, 1998, Pages 67-82

  Mueller, Carl ^a  

^a UNIVERSITY OF ROCHESTER   (United States)

Author keywords

35R60; 60J75; Heat equation; L vy processes; Primary 60H15; Secondary 35K05; Stochastic partial differential equations

Indexed keywords

EID: 0003373043     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00120-8     Document Type: Article

References (10)

1. Athreya K.B., Ney, P.E., 1972. Branching Processes. Springer Berlin.
2. Dawson D.A., 1993. Measure-valued Markov processes. In P.L. Hennequin, (ed.), Ecole d'Ete de Probabilites de Saint Flour XXI-1991, Lecture Notes in Mathematics Springer, Berlin.
3. Ito K., 1961. Lectures on Stochastic Processes. Tata Institute of Fundamental Research, Bombay
4. Konno N., Shiga T. Stochastic partial differential equations for some measure-valued diffusions. Probab. Theory Rel. Fields. 79:1988;201-225.
5. Lamperti J. Continuous state branching processes. Bull. Amer. Math. Soc. 73(3):1967;382-386.
6. Mueller C. Long time existence for the heat equation with a noise term. Probab. Theory Related Fields. 90:1991;505-518.
7. Neveu J., A continuous state branching process in relation with the grem model of spin glasses theory. Preliminary version, 1992.
8. Rosinski J., Woyczynski W.A. On Ito stochastic integration with respect to. p -stable motion:inner clock, integrability of sample paths, double and multiple integrals Ann. Probab. 14:1986;271-286.
9. Walsh J.B., 1986 An introduction to stochastic partial differential equations. In P. L. Hennequin, (ed.), Ecole d'Ete de Probabilites de Saint Flour XIV-1984, Lecture Notes in Math. 1180 Springer, Berlin.
10. Watanabe S. A limit theorem of branching processes and continuous state branching processes. J. Math. Kyoto U. 3:1968;141-167.