We consider the problem of determining a complex-valued potential q in a bounded two-dimensional domain from the Cauchy data measured on an arbitrary open subset of the boundary for the associatedâ€¦ (More)

We consider the problem of determining the coefficients of a first-order perturbation of the Laplacian in two dimensions by measuring the corresponding Cauchy data on an arbitrary open subset of theâ€¦ (More)

In this paper we deal with some controllability problems for systems of the Navierâ€“ Stokes and Boussinesq kind with distributed controls supported in small sets. Our main aim is to control Nâ€¦ (More)

We prove for a two dimensional bounded domain that the Cauchy data for the SchrÃ¶dinger equation measured on an arbitrary open subset of the boundary determines uniquely the potential. This implies,â€¦ (More)

We relax the regularity condition on potentials of the SchrÃ¶dinger equation in uniqueness results on the inverse boundary value problem which were recently proved in [O. Imanuvilov, G. Uhlmann, andâ€¦ (More)

We prove for a two dimensional bounded simply connected domain that the Cauchy data for the SchrÃ¶dinger equation measured on an arbitrary open subset of the boundary determines uniquely theâ€¦ (More)