Direct and Inverse Problems for a Phase-Field Model with Memory |
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Authors: | Fabrizio Colombo |
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Institution: | a Dipartimento di Matematica, Politecnico di Milano, Via Bonardi n.9, 20133, Milan, Italyf1 |
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Abstract: | We consider a semilinear integrodifferential system in non-normal form. Such a system is a generalization of the one that arises in the phase-field theory with memory. We prove an abstract existence and uniqueness theorem and a continuous dependence result for the direct problem. Reformulating the direct problem in a suitable way we prove that the identification problem admits a unique solution. |
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Keywords: | semilinear integrodifferential system in non-normal form phase-field theory with memory identification problem |
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