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...
Keywords: Identification problems, integro-differential systems, convolution hyperbolic phase-field models, recovering memory kernels, existence and uniqueness results
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterWe recover a non-negative time-dependent function, vanishing only at
Keywords: Identification problems, linear degenerate parabolic equations, first-order linear differential equations in Banach spaces, Semigroup Theory, existence and uniqueness results
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter