Quasi-elliptic and weakly coercive systems in Sobolev spaces of vector functions |
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| Authors: | D V Limanskii M M Malamud |
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| Institution: | (1) Department of Mathematics, Donetsk National University, Universitetskaya ul. 24, Donetsk, 83055, Ukraine;(2) Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, R. Lyuksemburg ul. 74, Donetsk, 83114, Ukraine |
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| Abstract: | The purpose of this paper is to investigate a connection between l-quasi-ellipticity and weak coercivity of systems acting on the spaces of vector functions Π (ℝ
n
). Moreover, we extend some of our earlier results to the matrix case. We also show that an l-quasielliptic system in the sense of O. V. Besov is q-quasi-elliptic in the sense of L. R. Volevich.
Dedicated to the blessed memory of L. R. Volevich, an outstanding mathematician |
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