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. LorenziPrimo
;E. RoccaUltimo
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.
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