In this book, focusing on hyperbolic systems, we give self-contained descriptions of•
derivations of Carleman estimates;• methods for application of Carleman estimates to …

We propose a new numerical method to reconstruct the isotropic electrical conductivity from
measured restricted Dirichlet-to-Neumann map data in electrical impedance tomography …

Given a compact manifold M with boundary∂ M, in this paper we introduce a global
symbolic calculus of pseudo-differential operators associated to (M,∂ M). The symbols of …

In this article, we first prove quantitative estimates associated to the unique continuation
theorems for operators with partially analytic coefficients of Tataru [Tat95, Tat99b], Robbiano …

In this article we study the strong unique continuation property for solutions of higher order
(variable coefficient) fractional Schr\" odinger operators. We deduce the strong unique …

In this paper, we establish two Carleman estimates for a stochastic degenerate parabolic
equation. The first one is for the backward stochastic degenerate parabolic equation with …

On a compact Riemannian manifold with boundary, we prove a spectral inequality for the bi-
Laplace operator in the case of so-called “clamped” boundary conditions, that is …

In this paper we investigate the inverse problem of determining the time independent scalar
potential of the dynamic Schrödinger equation in an infinite cylindrical domain, from partial …

We consider elliptic transmission problems with complex coefficients across an interface.
Under proper transmission conditions, that extend known conditions for well-posedness …

We consider a damped plate equation on an open bounded subset of R^ d, or a smooth
manifold, with boundary, along with general boundary operators fulfilling the Lopatinskii …