This article is cited in 2 papers

Integral operator of potential type for infinitely differentiable functions

Simona G. Myslivets

Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: In this paper, we prove the infinite differentiability of an integral operator of the potential type for an infinitely differentiable function defined on the boundary of a bounded domain with the boundary of the class $\mathcal{C}^\infty$ up to the boundary of the domain on both sides.

Keywords: the differentiability of an integral operator of the potential type

UDC: 517.55

Received: 11.01.2024
Received in revised form: 29.03.2024
Accepted: 04.05.2024

Language: English