RECONSTRUCTION AND STABLE RECOVERY OF SOURCE TERMS APPEARING IN DIFFUSION EQUATIONS

Abstract : We consider the inverse source problem of determining a source term depending on both time and space variable for fractional and classical diffusion equations in a cylindrical domain from boundary measurements. With suitable boundary conditions we prove that some class of source terms which are independent of one space direction, can be reconstructed from boundary measurements. Actually , we prove that this inverse problem is well-posed. We establish also some results of Lipschitz stability for the recovery of source terms which we apply to the stable recovery of time-dependent coefficients.
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https://hal.archives-ouvertes.fr/hal-02049174
Contributor : Yavar Kian <>
Submitted on : Tuesday, February 26, 2019 - 10:49:22 AM
Last modification on : Thursday, March 7, 2019 - 1:23:00 AM

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Yavar Kian, Masahiro Yamamoto. RECONSTRUCTION AND STABLE RECOVERY OF SOURCE TERMS APPEARING IN DIFFUSION EQUATIONS. 2019. ⟨hal-02049174⟩

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