\(C^0\)-estimates and smoothness of solutions to the parabolic equation defined by Kimura operators

DOI10.1016/j.jfa.2016.10.014zbMath1357.35152arXiv1406.0742OpenAlexW2963245548MaRDI QIDQ333111

Camelia A. Pop

Publication date: 9 November 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.0742

zbMATH Keywords

degenerate diffusionsanisotropic Hölder spacesdegenerate elliptic operatorsKimura diffusions

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Diffusion processes (60J60) A priori estimates in context of PDEs (35B45)

Related Items (8)

Finite state mean field games with Wright-Fisher common noise ⋮ 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 ⋮ Some analytic results for Kimura diffusion operators ⋮ Fundamental solution to 1D degenerate diffusion equation with locally bounded coefficients

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