Publication Cover
Applicable Analysis
An International Journal
Volume 98, 2019 - Issue 11
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Articles

Inverse problems for the stationary and pseudoparabolic equations of diffusion

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Pages 1997-2010 | Received 28 Jan 2018, Accepted 07 Feb 2018, Published online: 25 Feb 2018
 

ABSTRACT

The identification of an unknown coefficient in the lower term of pseudoparabolic differential equation of diffusion (u+ηMu)t+Mu+ku=f and elliptic second-order differential equation Mu+ku=f with the Dirichlet boundary condition is considered. The identification of k is based on an integral boundary data. The local existence and uniqueness of generalized strong solutions for the inverse problems are proved. The stability estimates are exposed.

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Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Russian Science Foundation [grant number 18-11-00203].

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