Electronic Journal of Differential Equations,
Vol. 1996(1996), No. 05, pp. 1-16.

Title: Global Existence, Uniqueness, and Continuous Dependence
       for a Reaction-Diffusion Equation with Memory

Author: Georg Hetzer (Auburn Univ.AL, USA)

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]).

Submitted March 17, 1996. Published July 23, 1996.
Math Subject Classification: 35K57, 34K30, 47H20, 58G11, 86A10. 
Key Words: reaction-diffusion equations; memory; energy balance climate
           models; quasilinear parabolic functional evolution equations.