Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative

We consider a class of quasielliptic operators in R n and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results,...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-03, Vol.230 (1), p.25-35
Main Author: Demidenko, G. V.
Format: Article
Language:English
Subjects:
EQUATIONS
Isomorphism
Mathematical analysis
MATHEMATICAL METHODS AND COMPUTING
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
Mathematics
Mathematics and Statistics
Operators (mathematics)
Sobolev space
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Summary:We consider a class of quasielliptic operators in R n and establish the isomorphism property in special weighted Sobolev spaces. In more general weighted spaces, we obtain the unique solvability conditions for quasielliptic equations and prove estimates for solutions. Based on the obtained results, we study the solvability of the initial problem for equations that are not solvable with respect to the higher order derivative.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-018-3723-2