Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries

Authors
Canuto, B Rosset, E Vessella, S
Citation
B. Canuto et al., Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries, T AM MATH S, 354(2), 2001, pp. 491-535
Citations number
26
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
354
Issue
2
Year of publication
2001
Pages
491 - 535
Database
ISI
SICI code
0002-9947(2001)354:2<491:QEOUCF>2.0.ZU;2-Z
Abstract
In this paper we obtain quantitative estimates of strong unique continuatio n for solutions to parabolic equations. We apply these results to prove sta bility estimates of logarithmic type for an inverse problem consisting in t he determination of unknown portions of the boundary of a domain Omega in R -n, from the knowledge of overdetermined boundary data for parabolic bounda ry value problems.