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

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.

Identifiers

DOI

10.1515/jiip.2008.010

Citations and references