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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| Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2018-03, Vol.230 (1), p.25-35 |
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| container_end_page | 35 |
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| container_title | Journal of mathematical sciences (New York, N.Y.) |
| container_volume | 230 |
| creator | Demidenko, G. V. |
| description | 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. |
| doi_str_mv | 10.1007/s10958-018-3723-2 |
| format | Article |
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| ispartof | Journal of mathematical sciences (New York, N.Y.), 2018-03, Vol.230 (1), p.25-35 |
| issn | 1072-3374 1573-8795 |
| language | eng |
| recordid | cdi_osti_scitechconnect_22771408 |
| source | Springer Nature - Complete Springer Journals |
| subjects | EQUATIONS Isomorphism Mathematical analysis MATHEMATICAL METHODS AND COMPUTING MATHEMATICAL OPERATORS MATHEMATICAL SOLUTIONS MATHEMATICAL SPACE Mathematics Mathematics and Statistics Operators (mathematics) Sobolev space |
| title | Quasielliptic Operators and Equations Not Solvable with Respect to the Higher Order Derivative |
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