Control and Cancellation Singularities of Bilaplacian in a Cracked Domains

Gilbert Bayili, Cheikh Seck, Abdoulaye Sene, Mary Teuw Niane

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.

Full Text: PDF DOI: 10.5539/jmr.v4n4p35

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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