Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
Analysis of PDEs
2014-06-19 v1
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.
Keywords
Cite
@article{arxiv.1406.4616,
title = {Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement},
author = {R. H. De Staelen and M. Slodička},
journal= {arXiv preprint arXiv:1406.4616},
year = {2014}
}
Comments
Preprint submitted to Elsevier