Email this article On the Definitions of Boundary Values of Generalized Solutions to an Elliptic-Type Equation
- Authors: Gusev N.A.1,2
-
Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- People’s Friendship University of Russia (RUDN University)
- Issue: Vol 301, No 1 (2018)
- Pages: 39-43
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175546
- DOI: https://doi.org/10.1134/S0081543818040041
- ID: 175546
Cite item
Open Access
Access granted
Subscription Access
Abstract
An elliptic-type equation with variable coefficients is considered. An overview is given of the definitions of boundary values of generalized solutions to this equation. Conditions for the existence of boundary values as well as conditions for the existence and uniqueness of solutions to the corresponding Dirichlet problem are analyzed.
About the authors
N. A. Gusev
Steklov Mathematical Institute of Russian Academy of Sciences; People’s Friendship University of Russia (RUDN University)
Author for correspondence.
Email: n.a.gusev@gmail.com
Russian Federation, ul. Gubkina 8, Moscow, 119991; ul. Miklukho-Maklaya 6, Moscow, 117198
Supplementary files
