Analyticity of solutions to parabolic evolutions and applications
Analysis of PDEs
2017-06-02 v2 Optimization and Control
Abstract
We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and null-controllability of parabolic evolutions over measurable sets.
Keywords
Cite
@article{arxiv.1509.04053,
title = {Analyticity of solutions to parabolic evolutions and applications},
author = {Luis Escauriaza and Santiago Montaner and Can Zhang},
journal= {arXiv preprint arXiv:1509.04053},
year = {2017}
}
Comments
New version with minor changes recommended by the referees