Email this article Inverse Source and Coefficient Problems for Elliptic and Parabolic Equations in Hölder and Sobolev Spaces
- Authors: Prilepko A.I.1, Kostin A.B.2, Solov’ev V.V.2
-
Affiliations:
- Lomonosov Moscow State University
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Issue: Vol 237, No 4 (2019)
- Pages: 576-594
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242405
- DOI: https://doi.org/10.1007/s10958-019-04184-2
- ID: 242405
Cite item
Open Access
Access granted
Subscription Access
Abstract
We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and parabolic equations.
About the authors
A. I. Prilepko
Lomonosov Moscow State University
Author for correspondence.
Email: prilepko.ai@yandex.ru
Russian Federation, 1, Leninskie Gory, Moscow, 119992
A. B. Kostin
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: prilepko.ai@yandex.ru
Russian Federation, 31, Kashirskoe shosse, Moscow, 115409
V. V. Solov’ev
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Email: prilepko.ai@yandex.ru
Russian Federation, 31, Kashirskoe shosse, Moscow, 115409
Supplementary files
