Georg Hetzer
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.
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