A stochastic approach to the Cauchy-Neumann problem for systems of nonlinear parabolic equations

DOI10.1007/s10958-022-06119-wMaRDI QIDQ6188005

Yana I. Belopolskaya

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

reflected diffusionsystems of nonlinear parabolic equationsSkorokhod's problemweak solutions of the Cauchy-Neuman

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Diffusion processes (60J60) Weak solutions to PDEs (35D30) Stochastic analysis (60Hxx) Game theory (91Axx)

Cites Work

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• Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated
• A fully-discrete scheme for systems of nonlinear Fokker-Planck-Kolmogorov equations
• Large deviations and exit-times for reflected McKean-Vlasov equations with self-stabilising terms and superlinear drifts
• Singular McKean-Vlasov (reflecting) SDEs with distribution dependent noise
• Entropy Methods for Diffusive Partial Differential Equations
• Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations
• A certain class of diffusion processes associated with nonlinear parabolic equations
• Fokker–Planck–Kolmogorov Equations
• Functional Integration and Partial Differential Equations. (AM-109)
• Small Random perturbation of dynamical systems with reflecting boundary
• Probabilistic interpretations of quasilinear parabolic systems
• Diffusion Processes with Reflection and Problems with a Directional Derivative on a Manifold with a Boundary
• Probabilistic Theory of Mean Field Games with Applications I
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS

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