Abstract

Find: People Places Events Search: At Rutgers On the Web Jump to: Home Publications Preprints Technical Reports Editorial Boards Meetings		Abstract
			In the first part of this paper we derive, by variational means, asymptotic formulas for the lowest order effects (on the solution to a divergence form, second order PDE) caused by changes in the boundary conditions on "small" sets. We address two different situations: (1 )when a global homogeneous Neumann boundary condition is replaced by a homogeneous Dirichlet boundary condition on a "small" set, and (2) when a global homogeneous Dirichlet boundary condition is replaced by a homogeneous Neumann boundary condition on a "small" set. Under very minimal geometric assumptions we show that the notion of smallness differs in the two situations, and we characterize this notion in terms of the appropriate capacity. In the last two sections of this paper we calculate, by means of integral equation methods, very concrete examples of our formulas, when the set of boundary condition change is a "small surfacic ball". View/Download Publication in pdf format Back to Preprint list Michael Vogelius 2-13-98