On self-conjugate operators generated nonhomogeneous elliptical problems with discontinuity boundary conditions and conditions of conjugacy

We construct and study self-adjoint operators corresponding to problems mentioned in the title. We describe a correlation between domains of definition of fractional powers of these operators and Sobolev spaces. We state new results on the solvability of several problems for nonlinear parabolic equa...

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Bibliographic Details
Date:1991
Main Authors: Nizhnik , L. P., Taraborkin , L. A., Нижник , Л. П., Тараборкин , Л. А.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1991
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/9618
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal