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.
An identification problem for a conserved phase-field model with memory / A. Lorenzi. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 28:11(2005), pp. 1315-1339. [10.1002/mma.614]
An identification problem for a conserved phase-field model with memory
A. LorenziPrimo
2005
Abstract
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.
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