Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-30T03:07:18.232Z Has data issue: false hasContentIssue false
  • English
  • Français

Potential theory in conical domains (III)

Published online by Cambridge University Press:  26 October 2001

N. Th. VAROPOULOS
N. Th. VAROPOULOS
Affiliation:
Department of Mathematics, University of Paris VI and I.U.F., 4 place Jussieu, 75252 Paris Cedex 05, France
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we shall consider differential operators that admit a periodic structure (cf. [1, 2])

(formula here),

where

(formula here),

are Hölder continuous for some α > 0 and periodic, so that, say, without loss of generality, we have

(formula here).

We shall assume that Q is elliptic, i.e. that the matrix A = (aij) satisfies

(formula here),

for some

(formula here).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 2 , September 2001 , pp. 327 - 361
Copyright
2001 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)