Showing math.APShow all
3 papers · 1 filter
math.AP2020
Reconstruction of a small acoustic inclusion via Time-dependent Polarization Tensors
Lorenzo Baldassari, Andrea Scapin
This paper aims at introducing the concept of time-dependent polarization tensors (TDPTs) for the wave equation associated to a diametrically small acoustic inclusion, with constit…
math.AP2019
Time-Dependent Polarization Tensors: Derivation of Asymptotic Expansions for the Transient Wave Equation
Lorenzo Baldassari
This report aims at establishing a theoretical framework for dealing with the reconstruction problem of a small acoustic inclusion. The objective is to introduce the new concept of…
math.AP2017
A straightforward proof of Carleman estimate for second order elliptic operator and a three sphere inequality
Lorenzo Baldassari, Sergio Vessella
In this paper we provide a simple proof of a Carleman estimate for a second order elliptic operator with Lipschitz leading coefficients. We apply such a Carleman estimate to de…