Uniqueness and counterexamples in some inverse source problems


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.

Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Publication ISSN: 1873-5452
Last Modified: 29 Nov 2023 11:12
Date Deposited: 23 Feb 2016 11:35
Full Text Link: 10.1016/j.aml.2016.02.001
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2016-08
Published Online Date: 2016-02-15
Accepted Date: 2016-02-02
Submitted Date: 2015-11-19
Authors: Slodička, M.
Johansson, B. Tomas

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