Uniqueness and counterexamples in some inverse source problems

M. Slodička*, B. Tomas Johansson

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review


    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.

    Original languageEnglish
    Pages (from-to)56-61
    Number of pages6
    JournalApplied Mathematics Letters
    Early online date15 Feb 2016
    Publication statusPublished - Aug 2016

    Bibliographical note

    © 2016, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/


    • heat equation
    • inverse source problem


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