Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory
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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. ).
CitationHetzer, G. (1996). Global Existence, Uniqueness, and Continuous Dependence for a Reaction-Diffusion Equation with Memory. Electronic Journal of Differential Equations, 1996(05), pp. 1-16.
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