BOUNDARY PROBLEM FOR THE LAPLACE EQUATION WITH MIXED BOUNDARY CONDITIONS IN A SEMIBAND
Theorems on the existence and uniqueness of the solution to the Laplace equation with mixed boundary conditions in a semiband have been proven in the work. Additionally, integral representations for the partial derivatives of the solution have been obtained.
Authors
- N. Yu. Kapustin
- D. D. Vasilchenko
Institutions
- Lomonosov Moscow State University (RU)
- Moscow State University (TJ)
Publication Details
- Journal
- Дифференциальные уравнения
- Published
- 2024-12-15
- DOI
- https://doi.org/10.31857/s0374064124120102
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.97
Funders
- Moscow Center of Fundamental and Applied Mathematics
- Ministry of Science and Higher Education of the Russian Federation