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

• Datum: 1991
• Hauptverfasser: Nizhnik , L. P., Taraborkin , L. A., Нижник , Л. П., Тараборкин , Л. А.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1991
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/9618
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...