9 citations · 16 across the 7 of their papers we have counts for
7 papers
Interior decay of solutions to elliptic equations with respect to frequencies at the boundary
Michele Di Cristo, Luca Rondi
We prove decay estimates in the interior for solutions to elliptic equations in divergence form with Lipschitz continuous coefficients. The estimates explicitly depend on the dista…
Stability for Quantitative Photoacoustic Tomography with well chosen illuminations
Giovanni Alessandrini, Michele Di Cristo, Elisa Francini +1
We treat the stability issue for the three dimensional inverse imaging modality called Quantitative Photoacoustic Tomography. We provide universal choices of the illuminations whic…
A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
V. Bacchelli, M. Di Cristo, E. Sincich +1
We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condi…
Estimate of the Fundamental Solution for Parabolic Operators with Discontinuous Coefficients
Michele Di Cristo, Kyoungsun Kim, Gen Nakamura
We will show that the same type of estimates known for the fundamental solutions for scalar parabolic equations with smooth enough coefficients hold for the first order derivatives…
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…
Stable determination of an inclusion by boundary measurements
Giovanni Alessandrini, Michele Di Cristo
We deal with the problem of determining an inclusion within an electrical conductor from electrical boundary measurements. Under mild a priori assumptions we establish an optimal s…