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Direct and Inverse Problems for a Phase-Field Model with Memory

✍ Scribed by Fabrizio Colombo

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 202 KB
Volume: 260
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7475

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✦ Synopsis

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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