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Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem
2014
Boundary Value Problems
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This paper concerns an inverse problem for an integro-differential equation related to the Basset problem. The inverse problem aims to determine a weakly singular term from the time trace at a fixed point x 0 ∈ . We use the maximum principle for an integro-differential operator to derive the uniqueness of the inverse problem. Additionally, we prove the existence and uniqueness of the direct Basset problem with a general kernel function. MSC: 35L05; 35L10; 35R09; 35R30
doi:10.1186/s13661-014-0229-9
fatcat:q62zur3r3jhufhjl5gxm3a3gli