Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 141, Pages 79–85 (Mi into244)  
On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces

O. Kh. Karimov

Institute of Mathematics, Academy of Sciences of Republic of Tajikistan, Dushanbe
Full-text PDF (166 kB)
Abstract: We prove the separation property for a certain class of nonlinear second-order differential operators with variable matrix coefficients in weighted spaces, that, in general, are not weak perturbations of linear operators.
Keywords: weighted space, nonlinear differential operator, separation property, coercive inequality, matrix coefficient.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 5, Pages 589–595
DOI: https://doi.org/10.1007/s10958-019-04447-y
Bibliographic databases:
Document Type: Article
UDC: 517.948
MSC: 35Q40, 35J10
Language: Russian
Citation: O. Kh. Karimov, “On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces”, Differential equations. Spectral theory, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 141, VINITI, M., 2017, 79–85; Journal of Mathematical Sciences, 241:5 (2019), 589–595
Citation in format AMSBIB
\Bibitem{Kar17}
\by O.~Kh.~Karimov
\paper On the separation property of nonlinear second-order differential operators with matrix coefficients in weighted spaces
\inbook Differential equations. Spectral theory
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 141
\pages 79--85
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into244}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801339}
\zmath{https://zbmath.org/?q=an:1423.35327}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 5
\pages 589--595
\crossref{https://doi.org/10.1007/s10958-019-04447-y}
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