On the Boyarsky-Meyers estimate for the solution of the Dirichlet problem for a second-order linear elliptic equation with drift
- Authors: Alkhutov Y.A.1, Chechkin G.A.2,3,4
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Affiliations:
- Vladimir State University named after Alexander and Nikolay Stoletovs
- Lomonosov Moscow State University
- Institute of Mathematics with Computing Center, Ufa Federal Research Centre, Russian Academy of Sciences
- Institute of Mathematics and Mathematical Modeling
- Issue: Vol 70, No 1 (2024): Functional spaces. Differential operators. Problems of mathematics education
- Pages: 1-14
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/38692
- DOI: https://doi.org/10.22363/2413-3639-2024-70-1-1-14
- EDN: https://elibrary.ru/ZXGOMR
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Abstract
We establish the increased integrability of the gradient of the solution to the Dirichlet problem for the Laplace operator with lower terms and prove the unique solvability of this problem.
About the authors
Yu. A. Alkhutov
Vladimir State University named after Alexander and Nikolay Stoletovs
Author for correspondence.
Email: yurij-alkhutov@yandex.ru
Vladimir, Russia
G. A. Chechkin
Lomonosov Moscow State University; Institute of Mathematics with Computing Center, Ufa Federal Research Centre, Russian Academy of Sciences; Institute of Mathematics and Mathematical Modeling
Email: chechkin@mech.math.msu.su
Almaty, Kazakhstan
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