Generalized solutions of nonlinear parabolic equations and diffusion processes

DOI10.1007/s10440-007-9095-0zbMath1131.60053OpenAlexW2001083017MaRDI QIDQ996725

Wojbor A. Woyczyński, Yana I. Belopolskaya

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9095-0

zbMATH Keywords

nonlinear parabolic equationsstochastic flowsnonlinear Markov diffusion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Diffusion processes (60J60) Initial value problems for second-order parabolic systems (35K45)

Related Items (8)

GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR SYSTEMS OF NONLINEAR PARABOLIC EQUATIONS AND DIFFUSION PROCESSES ⋮ Probabilistic models of the dynamics of the growth of cells under contact inhibition ⋮ Probabilistic model for the Lotka-Volterra system with cross-diffusion ⋮ Stochastic representation of weak solutions of viscous conservation laws: a BSDE approach ⋮ Stochastic interpretation of the MHD-Burgers system ⋮ Probabilistic interpretation of the Cauchy problem solution for systems of nonlinear parabolic equations ⋮ Probabilistic interpretations of quasilinear parabolic systems ⋮ Parabolic Schemes for Quasi-Linear Parabolic and Hyperbolic PDEs via Stochastic Calculus

Cites Work

• Stochastic flows acting on Schwartz distributions
• Generalized solutions of a stochastic partial differential equation
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