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Matrix quasi-elliptic operators in \(\mathbb R^n\) - MaRDI portal

Matrix quasi-elliptic operators in \(\mathbb R^n\) (Q606562)

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scientific article; zbMATH DE number 5816912
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Matrix quasi-elliptic operators in \(\mathbb R^n\)
scientific article; zbMATH DE number 5816912

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    Matrix quasi-elliptic operators in \(\mathbb R^n\) (English)
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    17 November 2010
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    From the text: The author considers the class of special quasi-elliptic operators in the entire space \(\mathbb{R}^n\). This class belongs to that of operators introduced by \textit{L.\,R.\thinspace Volevich} [Mat.\ Sb., N.\ Ser.\ 59(101), Supplement, 3--52 (1962; Zbl 0161.07801)]. The main results are isomorphism theorems for the considered class of operators on special scales of weighted Sobolev spaces.
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    quasi-elliptic operator
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    isomorphism theorem
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    Sobolev spaces
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    Sobolev-type systems
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