Diffusion semigroups and diffusion processes corresponding to degenerate divergence form operators

Communications on Pure and Applied Mathematics

Volumn 50, Issue 7, 1997, Pages 667-705

  Quastel, J ^a   Varadhan, S R S ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031482904     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0312(199707)50:7<667::aid-cpa3>3.0.co;2-5     Document Type: Article

References (8)

1. Albeverio, S., Hoegh-Krohn, R., and Streit, L., Energy forms, Hamiltonians, and distorted Brownian paths, J. Math. Phys. 18, 1977, pp. 907-917.
2. Carlen, E. A., Conservative Diffusions, Comm. Math. Phys. 94, 1984, pp. 293-315.
3. DiPerna, R. J., and Lions, P.-L., Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98, 1989, pp. 511-547.
4. Fukushima, M., Dirichlet Forms and Markov Processes, North-Holland Mathematical Library No. 23, North-Holland, Amsterdam-New York; Kodansha, Tokyo, 1980.
5. Lions, J.-L., and Magenes, E., Non-Homogeneous Boundary Value Problems and Applications, Grundlehren der Mathematischen Wissenschaften Vols. 181-182, Springer, New York-Heidelberg, 1972.
6. Quastel, J., Rezakhanlou, F., and Varadhan, S. R. S., Large deviations for tagged particles in the symmetric exclusion process, to appear.
7. Stroock, D. W., Diffusion semigroups corresponding to uniformly elliptic divergence form operators, pp. 316-347 in: Séminaire de Probabilités 22, Lecture Notes in Mathematics No. 1321, Springer, Berlin-New York, 1988.
8. Stroock, D. W., and Varadhan, S. R. S., Multidimensional Diffusion Processes, Grundlehren der Mathematischen Wissenschaften No. 233, Springer, Berlin-New York, 1979.