Sobolev spaces and boundary-value problems for the curl and gradient-of-divergence operators

We study boundary value and spectral problems in a bounded domain $G$ with smooth border for operators $\operatorname{rot} +\lambda I$ and $\nabla \operatorname{div} +\lambda I$ in the Sobolev spaces. For $\lambda\neq 0$ these operators are reducible (by B. Veinberg and V. Grushin method) to ell...

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Bibliographic Details
Main Author: Saks, Romen Semenovich
Format: Article
Language:English
Published: Samara State Technical University 2020-01-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/vsgtu1759