Diffusion approximation for a class of Markov processes satisfying a nonlinear Fokker-Planck equation

DOI10.1016/0362-546X(83)90018-4zbMath0545.60075OpenAlexW2031045958MaRDI QIDQ3334745

Zhanbing Li, Walter A. Rosenkrantz

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90018-4

zbMATH Keywords

Trotter-Kato theoremnonlinear Fokker-Planck equation

Mathematics Subject Classification ID

Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

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• Approximation of semi-groups of operators
• Geometric theory of semilinear parabolic equations
• Diffusion approximation of non-Markovian processes
• Extensions of Trotter's operator semigroup approximation theorems
• The parabolic differential equations and the associated semigroups of transformation
• The adjoint semi-group
• Initial value problems for the Carleman equation
• Limit theorems for Markov processes via a variant of the Trotter-Kato theorem
• Convergence of Sequences of Semigroups of Nonlinear Operators with an Application to Gas Kinetics
• On a degenerate elliptic‐parabolic equation occurring in the theory of probability

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