Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900215 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Alip Mohammed, Amjad Tuffaha,