Control and Cancellation Singularities of Bilaplacian in a Cracked Domains

Abstract

We are interested in controlling and removing singularities of the Dirichlet problem involving the bilaplacian operator in a domain with corner. It's possible of making the solution to the bilaplacian operator regular, through acting on a small part of a cracked domain with corner. Then, the best singularity coefficients can be controlled by simultaneous actions of two controls on a small part of the boundary.