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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
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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

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