Reconstruction of a source term in a parabolic integro-differential equation from final data
DOI: https://doi.org/10.3846/13926292.2011.578282Abstract
The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
Keywords:
Inverse problem, integro-differential equation, quasi-solutionHow to Cite
Kasemets, K., & Janno, J. (2011). Reconstruction of a source term in a parabolic integro-differential equation from final data. Mathematical Modelling and Analysis, 16(2), 199-219. https://doi.org/10.3846/13926292.2011.578282
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Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
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2011-06-24
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Copyright
Copyright (c) 2011 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Kasemets, K., & Janno, J. (2011). Reconstruction of a source term in a parabolic integro-differential equation from final data. Mathematical Modelling and Analysis, 16(2), 199-219. https://doi.org/10.3846/13926292.2011.578282