This article is cited in 3 papers

An integral representation and boundary behavior of functions defined in a domain with a peak

M. Yu. Vasil'chik, I. M. Pupyshev

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We establish an invertible characteristic of boundary behavior of functions in Sobolev spaces defined in a space domain with a vertex of a peak on the boundary.

Key words: Sobolev space, peak, boundary behavior of functions.

UDC: 517.518.234

Received: 02.07.2009

 English version: Siberian Advances in Mathematics, 2011, 21:2, 130–159

Bibliographic databases:

•