This paper is devoted to recovering a scalar memory kernel in a conserved phase-field model. For such a problem local in time existence and uniqueness results are proved. The technique used allows to show also the continuous dependence on the kernel of the solution to the direct problem. Copyright (C) 2005 John Wiley & Sons, Ltd.
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Politecn Milan, Dipartimento Matemat F Brioschi, Via Bonardi 9, I-20133 Milan, ItalyPolitecn Milan, Dipartimento Matemat F Brioschi, Via Bonardi 9, I-20133 Milan, Italy
Conti, Monica
Gatti, Stefania
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Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, Via Campi 213-B, I-41125 Modena, ItalyPolitecn Milan, Dipartimento Matemat F Brioschi, Via Bonardi 9, I-20133 Milan, Italy
Gatti, Stefania
Miranville, Alain
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Univ Poitiers, Lab Math & Applicat, UMR CNRS 7348, SP2MI, Blvd Marie & Pierre Curie Teleport 2, F-86962 Futuroscope, FrancePolitecn Milan, Dipartimento Matemat F Brioschi, Via Bonardi 9, I-20133 Milan, Italy