In this paper we obtain quantitative estimates of strong unique continuation for solutions to parabolic equations. We apply these results to prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain Omega in R(n), from the knowledge of overdetermined boundary data for parabolic boundary value problems.
Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problemswith unknown boundaries
ROSSET, EDI;
2002-01-01
Abstract
In this paper we obtain quantitative estimates of strong unique continuation for solutions to parabolic equations. We apply these results to prove stability estimates of logarithmic type for an inverse problem consisting in the determination of unknown portions of the boundary of a domain Omega in R(n), from the knowledge of overdetermined boundary data for parabolic boundary value problems.File in questo prodotto:
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