Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki (Jun 2013)

The Laplace’ quasi-operator in quasi-Sobolev spaces

  • Jawad K Al-Delfi

Journal volume & issue
Vol. 17, no. 2
pp. 13 – 16

Abstract

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The quasi-Sobolev spaces notion introduced in the article is based on the quasinorms concept. Completeness of these spaces on the appropriate quasi-norms is proved and the continuous embedding of these spaces is shown in the work. Also Laplace’ and Green’s quasi-operators concepts are introduced; it is shown that these quasi-operators are toplinear isomorphisms.

Keywords