Existence results for a class of evolution equations of mixed type |
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Authors: | Fabio Paronetto |
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Institution: | Dipartimento di Matematica “Ennio De Giorgi”, Università degli Studi di Lecce, Via per Arnesano, 73100 Lecce Italy |
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Abstract: | We give an existence result for the evolution equation in the space where is a Banach space and is a non-invertible operator (the equation may be partially elliptic and partially parabolic, both forward and backward) and we study the “Cauchy-Dirichlet” problem associated to this equation (indeed also for the inclusion . We also investigate continuous and compact embeddings of and regularity in time of the solution. At the end we give some examples of different . |
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Keywords: | Abstract evolution equation Elliptic-parabolic equations Monotone operators Forward-backward parabolic equations |
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