Search

Your search keyword '"Complex number"' showing total 1 results
Start Over "Complex number" Search Limiters Peer Reviewed Topic boundary value problems Publication Year Range Last 10 years Journal journal of mathematical analysis & applications

Refine your results

1 results on '"Complex number"'

1. On boundary control of the Poisson equation with the third boundary condition.

Author

Mohammed, Alip and Tuffaha, Amjad

Subjects
*POISSON algebras, *BOUNDARY value problems, *EIGENVALUE equations, *LAPLACIAN operator, *EIGENFUNCTIONS
Abstract

This paper studies controllability of the Poisson equation on the unit disk in C subject to the third boundary condition when the control is imposed on the boundary. We use complex analytic methods to prove existence and uniqueness of the control when the parameter λ is a nonzero complex number but not a negative integer (not an eigenvalue). Otherwise, due to multiplicity of solutions to the underlying problem, when λ is a negative integer, controllability could only be obtained if proper additional conditions on the boundary are imposed. [ABSTRACT FROM AUTHOR]

Published
2018
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results