Email this article Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative
- Authors: Demidenko G.V.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 230, No 1 (2018)
- Pages: 25-35
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240597
- DOI: https://doi.org/10.1007/s10958-018-3723-2
- ID: 240597
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Abstract
We consider a class of quasielliptic operators in Rn 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.
About the authors
G. V. Demidenko
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: demidenk@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090
