Reaction diffusion equations with boundary degeneracy
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Date
2016-03-23
Authors
Zhan, Huashui
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider the reaction diffusion equation
∂u/∂t = ∆A(u), (x, t) ∈ Ω x (0, T),
with the homogeneous boundary condition. Inspired by the Fichera-Oleĭnik theory, if the equation is not only strongly degenerate in the interior of Ω, but also degenerate on the boundary, we show that the solution of the equation is free from any limitation of the boundary condition.
Description
Keywords
Reaction diffusion equation, Fichera-Oleinik theory, Boundary condition, Degeneracy
Citation
Zhan, H. (2016). Reaction diffusion equations with boundary degeneracy. <i>Electronic Journal of Differential Equations, 2016</i>(81), pp. 1-13.
Rights
Attribution 4.0 International