Exposés du forum 1998
Diffusion processes and nonlinear parabolic equations
Femmes & math, Forums 3 et 4 des Jeunes Mathématiciennes (2000), pp. 10-14.
Publié le :
Belopolskaya, Yana 1

1 St.Petersburg Architecture Building University, Russia and University of Blaise Pascal, Clermont-Ferrand, France 2 Krasnoarmejskaya 4, St. Petersburg, Russia
@article{RFM_2000__4_S1_10_0,
     author = {Belopolskaya, Yana},
     title = {Diffusion processes and nonlinear parabolic equations},
     journal = {Femmes & math},
     pages = {10--14},
     publisher = {Association femmes et math\'ematiques},
     year = {2000},
     language = {en},
     url = {http://www.numdam.org/item/RFM_2000__4_S1_10_0/}
}
TY  - JOUR
AU  - Belopolskaya, Yana
TI  - Diffusion processes and nonlinear parabolic equations
JO  - Femmes & math
PY  - 2000
SP  - 10
EP  - 14
PB  - Association femmes et mathématiques
UR  - http://www.numdam.org/item/RFM_2000__4_S1_10_0/
LA  - en
ID  - RFM_2000__4_S1_10_0
ER  - 
%0 Journal Article
%A Belopolskaya, Yana
%T Diffusion processes and nonlinear parabolic equations
%J Femmes & math
%D 2000
%P 10-14
%I Association femmes et mathématiques
%U http://www.numdam.org/item/RFM_2000__4_S1_10_0/
%G en
%F RFM_2000__4_S1_10_0
Belopolskaya, Yana. Diffusion processes and nonlinear parabolic equations. Femmes & math, Forums 3 et 4 des Jeunes Mathématiciennes (2000), pp. 10-14. http://www.numdam.org/item/RFM_2000__4_S1_10_0/

[1] H. McKean, A class of Markov processes associated with nonlinear parabolic equations. Proc.Nat. Acad. Sci. USA 59, 6 (1966), 1907-1911 . | Zbl

[2] M. Freidlin, Quasilinear parabolic equations and measures in function space. Funct. Anal. Appl. V. 1, N. 3 (1967), 237-240. | Zbl

[3] Ya. Belopolskaya, Yu. Dalecky, Investigation of a Cauchy problem for quasi-linear parabolic system with finite and infinite dimensional arguments with help of Markov random processes. Izv. Vysh. Uchebn.Zaved. Math 2, 6 (1978), 5-17.

[4] Ya. Belopolskaya, Yu. Dalecky, Markov processes associated with nonlinear parabolic systems. DAN AN SSSR V. 250, 1 (1980), 521-524.

[5] Ya. Belopolskaya, Probabilistic approach to solution of nonlinear parabolic equations. Problems of mathematical analysis V. 13 (1992), 156-170.

[6] Ya. Belopolskaya, Yu. Dalecky, Stochastic Equations and Differential Geometry. Kluwer Acad. Publ. 1990, p. 260. | Zbl

[7] N. Krylov, Nonlinear elliptic and parabolic equations of second order. Nauka, Moscow 1985, p. 376. Engl. transi. by Reidel, Dordrecht 1987. | Zbl

[8] Ya. Belopolskaya, A priori estimates for solutions to first initial-boundary value problem for systems of fully nonlinear PDE. Ukr. Math J. 49, N. 3 (1997), 338-363. | Zbl