Parameter determination for Energy Balance Models with Memory

Martina Malfitana; Patrick Martinez; Piermarco Cannarsa

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Parameter determination for Energy Balance Models with Memory

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arxiv 1806.06344 v1 pith:C66MKQNY submitted 2018-06-17 math.AP

Parameter determination for Energy Balance Models with Memory

Piermarco Cannarsa , Martina Malfitana , Patrick Martinez This is my paper

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keywords memorybalancedeterminationenergymodelssellerstermtype

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In this paper, we study two Energy Balance Models with Memory arising in climatology, which consist in a 1D degenerate nonlinear parabolic equation involving a memory term, and possibly a set-valued reaction term (of Sellers type and of Budyko type, in the usual terminology). We provide existence and regularity results, and obtain uniqueness and stability estimates that are useful for the determination of the insolation function in Sellers' model with memory.

Parameter determination for Energy Balance Models with Memory

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