Quasielliptic operators and Sobolev type equations |
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| Authors: | G. V. Demidenko |
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| Affiliation: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
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| Abstract: | We consider a class of matrix quasielliptic operators on the n-dimensional space. For these operators, we establish the isomorphism properties in some special scales of weighted Sobolev spaces. Basing on these properties, we prove the unique solvability of the initial value problem for a class of Sobolev type equations. |
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| Keywords: | quasielliptic operator weighted Sobolev space isomorphism Sobolev type equations |
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