The exponential behaviour of the Green function in a dihedral angle

Authors
Garroni, MG Solonnikov, VA Vivaldi, MA
Citation
Mg. Garroni et al., The exponential behaviour of the Green function in a dihedral angle, COMMUN C M, 3(4), 2001, pp. 571-592
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
ISSN journal
02191997 → ACNP
Volume
3
Issue
4
Year of publication
2001
Pages
571 - 592
Database
ISI
SICI code
0219-1997(200111)3:4<571:TEBOTG>2.0.ZU;2-F
Abstract
We study the behaviour of the Green function of the heat problem in a dihed ral angle with oblique (or Neumann) conditions on the faces. The uniform estimates obtained for the Green function and its derivatives s how, in particular, the exponential decay at infinity, as in the parabolic problems in regular domains.