Global existence, uniqueness, and continuous dependence for a reaction-diffusion equation with memory

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]).

Bibliographic Details
Main Author: Georg Hetzer
Format: Article
Language:English
Published: Texas State University 1996-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1996/05/abstr.html