Carleman commutator approach in logarithmic convexity for parabolic equations
Analysis of PDEs
2018-02-19 v1
Abstract
In this paper we investigate on a new strategy combining the logarithmic convexity (or frequency function) and the Carleman commutator to obtain an observation estimate at one time for the heat equation in a bounded domain. We also consider the heat equation with an inverse square potential. Moreover, a spectral inequality for the associated eigenvalue problem is derived.
Keywords
Cite
@article{arxiv.1802.05949,
title = {Carleman commutator approach in logarithmic convexity for parabolic equations},
author = {Kim Dang Phung},
journal= {arXiv preprint arXiv:1802.05949},
year = {2018}
}