Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations
Analysis of PDEs
2016-10-12 v1
Abstract
Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal derivative of the temperature on a relatively open subset of the lateral boundary of the space-time domain.
Cite
@article{arxiv.1610.03398,
title = {Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations},
author = {A. Lorenzi and L. Lorenzi and M. Yamamoto},
journal= {arXiv preprint arXiv:1610.03398},
year = {2016}
}