Domain perturbation for elliptic equations with 
                    Robin boundary conditions.

                             by 

                   Daniel Daners (B.Y.U. Math)


             JTB 120, 3:20pm  Monday, February 2, 1998


                          Abstract

We consider elliptic equations subject to Robin boundary
conditions on sequences of domains converging to a limiting domain. We
ask whether the corresponding solutions converge, and what limiting
problem they solve. In contrast to Dirichlet and Neumann boundary
conditions it very much depends on how the domain converges. We shall
see that under suitable assumptions the limiting problem is a Dirichlet
problem, or a Robin problem with the same or a different coefficient on
the boundary.


Requests for preprints and reprints to: daners@math.byu.edu
This source can be found at http://www.math.utah.edu/applied-math/