Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations

DOI10.1016/j.bulsci.2004.03.004zbMath1064.60171OpenAlexW2141075035MaRDI QIDQ707286

Sandra Cerrai, Philippe Clément

Publication date: 9 February 2005

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2004.03.004

zbMATH Keywords

stochastic invariancemartingale problemdegenerate elliptic equations in nonregular domainsFleming-Viot operatorgeneration of semigroup

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Diffusion processes (60J60) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items

The fundamental solution to 1D degenerate diffusion equation with one-sided boundary ⋮ Existence, uniqueness and the strong Markov property of solutions to Kimura diffusions with singular drift ⋮ Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions ⋮ Initial-boundary value problems for conservative Kimura-type equations: solvability, asymptotic and conservation law ⋮ Transition probabilities for degenerate diffusions arising in population genetics ⋮ Schauder estimates for a degenerate second order elliptic operator on a cube ⋮ Analysis of Degenerate Diffusion Operators Arising in Population Biology ⋮ Fundamental solution to 1D degenerate diffusion equation with locally bounded coefficients ⋮ Toward the Fourier law for a weakly interacting anharmonic crystal

Cites Work

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• Schauder estimates for a class of second order elliptic operators on a cube.
• Elliptic partial differential equations of second order
• Degenerate stochastic differential equations and super-Markov chains
• Resolvent estimates for Fleming-Viot operators and uniqueness of solutions to related martingale problems
• Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
• A class of degenerate diffusion processes occurring in population genetics
• Fleming–Viot Processes in Population Genetics
• On a class of degenerate elliptic operators arising from Fleming-Viot processes