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Brief Communications

On an Analog of de Leeuw and Mirkil Theorem for Operators with Variable Coeficients

D. V. Lymanskyi^a, M. M. Malamud<sup>b

a</sup> Donetsk National University
^b Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Keywords: elliptic operator, quasielliptic operator, coercive differential operator, a priori bounds, quasihomogeneous symbol, Sobolev space.

Received: 06.10.2007

DOI: 10.4213/mzm4724

 English version: Mathematical Notes, 2008, 83:5, 712–715

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