The nonuniqueness of solutions to elliptic equations for probability measures

Doklady Mathematics

Volumn 77, Issue 3, 2008, Pages 401-403

  Shaposhnikov, S V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOV PROCESSES; PROBABILITY; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SOLUTIONS; TRAJECTORIES;

BOUNDED DOMAINS; BOUNDED SOLUTIONS; DIFFUSION PROCESSES; ELLIPTIC EQUATIONS; NON-UNIQUENESS; NONUNIQUENESS OF SOLUTIONS; PROBABILITY MEASURES; STATIONARY DISTRIBUTIONS; SUFFICIENT CONDITIONS (SC);

RISK ASSESSMENT;

EID: 47049095582     PISSN: 10645624     EISSN: None     Source Type: Journal    
DOI: 10.1134/S1064562408030228     Document Type: Article

References (8)

1. V. I. Bogachev, N. V. Krylov, and M. Rockner, Commun. Partial Different. Equations 26, 2037-2080 (2001).
2. V. I. Bogachev, N. V. Krylov, and M. Rekner, Dokl. Math. 63, 18-21 (2001) [Dokl. Akad. Nauk 376, 151-154 (2001)].
3. V. I. Bogachev, M. Rekner, and V. Shtannat, Mat. Sb. 193(7), 3-36 (2002).
4. N. S. Nadirashvili, Ann. Scuola Norm. Super. Pisa Cl. Sci. 24, 537-550 (1997).
5. M. Safonov, SIAM J. Math. Anal. 30, 879-895 (1999).
6. V. V. Zhikov, Mat. Sb. 189(8), 27-58 (1998).
7. V. V. Zhikov, Funct. Anal. Appl. 38, 173-183 (2004) [Funkts. Anal. Ego Prilozh. 38 (3), 15-28 (2004)].
8. D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, 2nd ed. (Springer-Verlag, Berlin, 1983; Nauka, Moscow, 1989).