Hetzer, Georg2021-05-172021-05-171996-07-23Hetzer, 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. 1-16.1072-6691https://hdl.handle.net/10877/13571Global 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]).Text16 pages1 file (.pdf)enAttribution 4.0 InternationalReaction-diffusion equationsMemoryEnergy balance climate modelsQuasilinear parabolic functional evolution equationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.