|
|||||
|
|
Sobolev functions whose inner trace at the boundary is zero |
|
| Authors: | David Swanson William P. Ziemer |
| Affiliation: | (1) Department of Mathematics, Indiana University, 47405 Bloomington, IN, USA |
| Abstract: | Let Ω⊂R n be an arbitrary open set. In this paper it is shown that if a Sobolev functionf∈W 1,p (Ω) possesses a zero trace (in the sense of Lebesgue points) on ϖΩ, thenf is weakly zero on ϖΩ in the sense thatf∈W 0 1,p (Ω). |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |