On the controllability of linear parabolic equations with an arbitrary control location for stratified media

Abstract

We prove a null controllability result with an arbitrary control location in dimension greater than or equal to two for a class of linear parabolic operators with non-smooth coefficients. The coefficients are assumed to be smooth in all but one directions. To cite this article: A. Benabdallah et al., C. R. Acad. Sci. Paris, Ser. I 344 (2007).