Analysis of Degenerate Diffusion Operators Arising in Population Biology
From MaRDI portal
Publication:4912518
DOI10.1007/978-1-4614-4075-8_8zbMath1270.35280arXiv1110.0032OpenAlexW163584436MaRDI QIDQ4912518
Charles L. Epstein, Rafe R. Mazzeo
Publication date: 4 April 2013
Published in: From Fourier Analysis and Number Theory to Radon Transforms and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.0032
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Degenerate parabolic equations (35K65)
Related Items (13)
Selection by vanishing common noise for potential finite state mean field games ⋮ Boundary value problems for two types of degenerate elliptic systems in \(R^4\) ⋮ A kind of boundary value problem for inhomogeneous partial differential system ⋮ The C∞ -isomorphism property for a class of singularly-weighted x-ray transforms ⋮ Finite state mean field games with Wright-Fisher common noise ⋮ The fundamental solution to 1D degenerate diffusion equation with one-sided boundary ⋮ Boundary-degenerate elliptic operators and Hölder continuity for solutions to variational equations and inequalities ⋮ Schauder a priori estimates and regularity of solutions to boundary-degenerate elliptic linear second-order partial differential equations ⋮ Perturbations of local maxima and comparison principles for boundary-degenerate linear differential equations ⋮ Carleman estimates for singular parabolic equations with interior degeneracy and non-smooth coefficients ⋮ Second order elliptic operators in \(L^2\) with first order degeneration at the boundary and outward pointing drift ⋮ Extinction times of an inhomogeneous Feller diffusion process: a PDE approach ⋮ Fundamental solution to 1D degenerate diffusion equation with locally bounded coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness of the martingale problem for some degenerate diffusion processes occurring in dynamics of populations
- Formulas for diffusion approximations of some gene frequency models
- Schauder estimates for a class of second order elliptic operators on a cube.
- The frequency-dependent Wright-Fisher model: diffusive and non-diffusive approximations
- Schauder estimates for a degenerate second order elliptic operator on a cube
- The parabolic differential equations and the associated semigroups of transformation
- Wright–Fisher Diffusion in One Dimension
- Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
- A class of degenerate diffusion processes occurring in population genetics
- Regularity of the free boundary for the porous medium equation
- Degenerate Diffusion Operators Arising in Population Biology
- Diffusion models in population genetics
This page was built for publication: Analysis of Degenerate Diffusion Operators Arising in Population Biology