|
Zapiski Nauchnykh Seminarov POMI, 2004, Volume 311, Pages 7–39
(Mi znsl786)
|
|
|
|
This article is cited in 3 scientific papers (total in 3 papers)
Generalized solutions of nonlinear parabolic systems and vanishing viscosity method
Ya. I. Belopol'skaya St. Petersburg State University of Architecture and Civil Engineering
Abstract:
In this paper we construct stochastic processes associated with nonlinear parablic equations and systems that allow to derive a probabilistic representation of a generalized solution to the Cauchy problem for them. We show also that in some cases the derived representation can be used to construct and investigate a smooth solution to the Cauchy problem for a hyperbolic system within the framework of the vanishing viscosity method.
Received: 25.06.2004
Citation:
Ya. I. Belopol'skaya, “Generalized solutions of nonlinear parabolic systems and vanishing viscosity method”, Probability and statistics. Part 7, Zap. Nauchn. Sem. POMI, 311, POMI, St. Petersburg, 2004, 7–39; J. Math. Sci. (N. Y.), 133:3 (2006), 1207–1223
Linking options:
https://www.mathnet.ru/eng/znsl786 https://www.mathnet.ru/eng/znsl/v311/p7
|
Statistics & downloads: |
Abstract page: | 258 | Full-text PDF : | 102 | References: | 41 |
|