Unique continuation and approximate controllability for a degenerate parabolic equation
Analysis of PDEs
2011-10-04 v3 Systems and Control
Optimization and Control
Abstract
This paper studies unique continuation for weakly degenerate parabolic equations in one space dimension. A new Carleman estimate of local type is obtained to deduce that all solutions that vanish on the degeneracy set, together with their conormal derivative, are identically equal to zero. An approximate controllability result for weakly degenerate parabolic equations under Dirichlet boundary condition is deduced.
Cite
@article{arxiv.1107.3246,
title = {Unique continuation and approximate controllability for a degenerate parabolic equation},
author = {Piermarco Cannarsa and Jacques Tort and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1107.3246},
year = {2011}
}
Comments
for the special issue of Applicable Analysis on PDE and Inverse Problems (Guest Editors: R. Triggiani, A. Favini and A. Lorenzi)