Inverse source problem for parabolic equation with the condition of integral observation in time-Reference-Cited by-同舟云学术

Inverse source problem for parabolic equation with the condition of integral observation in time

Published:2017-10-07 Issue:4 Volume:26 Page:523-539
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Prilepko Aleksey I.¹,Kamynin Vitaly L.²,Kostin Andrew B.²^ORCID

Affiliation:

1. Department of Mathematical Analysis , Lomonosov Moscow State University , Leninskie Gory 1, 119991 Moscow , Russia

2. Department of Mathematics , National Research Nuclear University MEPhI , Kashirskoe Shosse 31, 115409 Moscow , Russia

Abstract

Abstract We consider the inverse problem of source determination in nonuniformly parabolic equation under the additional condition of integral observation. We investigate the questions of existence and uniqueness of solution. Two types of sufficient conditions for the unique solvability of the inverse problem are obtained. Examples of inverse problems are given for which the conditions of the proved theorems are fulfilled.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2017-0049/pdf

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