Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory
Date
1996-07-23
Authors
Hetzer, Georg
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
Global existence, uniqueness and continuous dependence on initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model. Our approach relies heavily on the so-called stability estimates for linear evolution equations of parabolic type (cf. [6]).
Description
Keywords
Reaction-diffusion equations, Memory, Energy balance climate models, Quasilinear parabolic functional evolution equations
Citation
Hetzer, G. (1996). Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory. <i>Electronic Journal of Differential Equations, 1996</i>(05), pp. 1-16.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.