Existence and regularity for a nonlinear boundary flow problem of population genetics |
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Authors: | Gustavo Ferron Madeira |
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Institution: | Departamento de Matemática, Universidade Federal de São Carlos, 13.565-905 São Carlos SP, Brazil |
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Abstract: | In this paper we consider a heat equation with nonlinear boundary condition occurring in population genetics, the selection–migration problem for alleles in a region, considering flow of genes throughout the boundary. Such a problem determines a gradient flow in a convenient phase space and then the dynamics for large times depends heavily on the knowledge of the equilibrium solutions. We address the questions of the existence of a nontrivial equilibrium solution and its regularity. |
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Keywords: | 35K55 35K60 35J60 35J65 35B50 35B65 |
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