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arXiv · 1406.4616

Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement

R. H. De Staelen·M. Slodička
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Abstract

A semilinear parabolic problem of second order with an unknown time-convolution kernel is considered. The missing kernel is recovered from an additional integral measurement. The existence, uniqueness and regularity of a weak solution is addressed. We design a numerical algorithm based on Rothe's method, derive a priori estimates and prove convergence of iterates towards the exact solution.

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R. H. De Staelen, M. Slodička. 2014-06-18. Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement. https://arxiv.org/abs/1406.4616

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