71 citations · 72 across the 3 of their papers we have counts for
3 papers
math.AP2009★ 1 cited
Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
Michele Di Cristo, Sergio Vessella
We deal with the problem of determining a time varying inclusion within a thermal conductor. In particular we study the continuous dependance of the inclusion from the Dirichlet-to…
math.AP2007★ 71 cited
Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
Sergio Vessella
In this paper we will review the main results concerning the issue of stability for the determination unknown boundary portion of a thermic conducting body from Cauchy data for par…
math.AP2006
Doubling Properties of Caloric Functions
L. Escauriaza, F. J. FernÁndez, S. Vessella
We prove local quantitative estimates of unique continuation for solutions to parabolic equations: doubling properties and two-sphere one-cylinder inequalities.