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Items for "existence and uniqueness results"

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

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 Gruyter
Solving a scalar degenerate multidimensional identification problem in a Banach space

We recover a non-negative time-dependent function, vanishing only at t = 0, in a linear multi-dimensional parabolic equation with a power degeneration...

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