Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707509 | Applied Mathematics Letters | 2016 | 6 Pages |
Abstract
Uniqueness of a solution is investigated for some inverse source problems arising in linear parabolic equations. We prove new uniqueness results formulated in Theorems 3.1 and 3.2. We also show optimality of the conditions under which uniqueness holds by explicitly constructing counterexamples, that is by constructing more than one solution in the case when the conditions for uniqueness are violated.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M. SlodiÄka, B. Tomas Johansson,