We recover locally in time two (smooth) unknown convolution kernels, depending on time only, in a phase-field system coupling two hyperbolic integro-differential equations, where the differential operators (of order two and four in space, respectively) appear only under the integral sign. Moreover, we can prove a global uniqueness result concerning the unknown kernels.

Identification of two memory kernels in a fully hyperbolic phase-field system / A. Lorenzi, E. Rocca. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - 16:2(2008), pp. 147-174.

Identification of two memory kernels in a fully hyperbolic phase-field system

A. Lorenzi
Primo
;
E. Rocca
Ultimo
2008

Abstract

We recover locally in time two (smooth) unknown convolution kernels, depending on time only, in a phase-field system coupling two hyperbolic integro-differential equations, where the differential operators (of order two and four in space, respectively) appear only under the integral sign. Moreover, we can prove a global uniqueness result concerning the unknown kernels.
Convolution hyperbolic phase-field models; Existence and uniqueness results; Identification problems; Integro-differential systems; Recovering memory kernels
Settore MAT/05 - Analisi Matematica
2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/37428
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