Abstract
We consider one class of matrix differential operators in the whole space. For this class of operators we establish the isomorphic properties in some special scales of weighted Sobolev spaces and study the regularity properties for solutions to the system of differential equations defined by these operators. The class of operators under consideration contains the stationary Navier–Stokes operator.
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Demidenko, G.V. On One Class of Matrix Differential Operators. Siberian Mathematical Journal 45, 86–99 (2004). https://doi.org/10.1023/B:SIMJ.0000013014.89566.3c
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DOI: https://doi.org/10.1023/B:SIMJ.0000013014.89566.3c