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Selçuk Journal
of
Applied Mathematics
Summer-Autumn, 2002
Volume 3
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2002, Volume 3 - Number 2
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On properties of a class of matrix differential operators in Rn* |
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Gennadii Demidenko |
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Sobolev Institute of Mathematics, SB RAS,
Pr. Koptyuga 4, 630090 Novosibirsk, Russia
email :
demidenk@math.nsc.ru ;
Received: August
01, 2002
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Summary
In the paper we consider a class of matrix quasi-elliptic operators
in $R^n$. We establish isomorphic properties of these operators in
special weighted Sobolev spaces $W^l_{p,\sigma}(R^n)$. From our
results a theorem on isomorphism for the Navier-Stokes operator
follows. |
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Key
words
matrix quasi-elliptic operators, the Navier-Stokes operator,
isomorphism, weighted Sobolev spaces.
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2000 Mathematics Subject Classification :
35A30, 35J45, 35Q30
*
The research was supported in part by the Russian
Foundation for Basic Research (No. 01-01-00609).
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Article
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