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: Proceedings of International Scientific and Practical Conference, (3), 51–54. https://doi.org/10.31713/MCIT.2019.03

Issue

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Section

Mathematical modelling and computational methods