A note on well-posedness of source identification elliptic problem in a Banach space

Authors

  • A. Ashyralyev
  • C. Ashyralyyev
  • V.G. Zvyagin

DOI:

https://doi.org/10.31489/2020m3/96-104

Keywords:

well-posedness, elliptic equations, positivity, coercive stability, source identification, exact estimates, boundary value problem

Abstract

We study the source identification problem for an elliptic differential equation in a Banach space. The exact estimates for the solution of source identification problem in H¨older norms are obtained. In applications, four elliptic source identification problems are investigated. Stability and coercive stability estimates for solution of source identification problems for elliptic equations are obtained.

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Published

2020-09-30

Issue

2020 (99) 3

Section

MATHEMATICS