On the Definitions of Boundary Values of Generalized Solutions to an Elliptic-Type Equation

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. © 2018, Pleiades Publishing, Ltd.

Authors
Gusev N.A. 1, 2
Journal
Proceedings of the Steklov Institute of Mathematics
Number of issue
1
Language
English
Pages
39-43
Status
Published
Link
External link
DOI
10.1134/S0081543818040041
Volume
301
Year
2018
Organizations
  • 1 Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russian Federation
  • 2 People’s Friendship University of Russia (RUDN University), ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6667/
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