About Three Dimensional Jump Boundary Value Problems for the Laplacian

Authors

  • Olexandr Polishchuk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

DOI:

https://doi.org/10.31713/MCIT.2019.03

Keywords:

jump boundary value problems, Laplacian, simple and double layer potentials, well-posed solvability

Abstract

The conditions of well-posed solvability of searched function and its normal derivative three dimensional jump problem for the Laplacian and equivalent to them integral equation system for the sum of the simple and double layer potentials are determined in the Hilbert space, element of which as well as their normal derivatives have the jump through boundary surface.

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Published

2019-11-05

How to Cite

Polishchuk, O. (2019). About Three Dimensional Jump Boundary Value Problems for the Laplacian. Modeling, Control and Information Technologies, (3), 51–54. https://doi.org/10.31713/MCIT.2019.03

Issue

No. 3 (2019): Modeling, control and information technologies

Section

Mathematical, computer modeling and computational methods

License

All materials are distributed under the terms of the Creative Commons Attribution 4.0 International License, which allows others to distribute the work with attribution to the authorship of this work and the first publication in this journal.