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Article Contents

# Identification of the memory kernel in the strongly damped wave equation by a flux condition

• We study an abstract inverse problem of reconstruction of the solution of a semilinear mixed integrodifferential parabolic problem, together with a convolution kernel. The supplementary information required to solve the problem also involves a convolution term with the same unknown kernel. The abstract results are applicable to the identification of a memory kernel in a strongly damped wave equation using a flux condition.
Mathematics Subject Classification: Primary: 35R30, 45K05, 45N05; Secondary: 80A20.

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