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On boundary control of the Poisson equation with the third boundary condition.
- Source :
-
Journal of Mathematical Analysis & Applications . Mar2018, Vol. 459 Issue 1, p217-235. 19p. - Publication Year :
- 2018
-
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]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 459
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 126455938
- Full Text :
- https://doi.org/10.1016/j.jmaa.2017.10.059