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Boundary Trace Operator in a Domain of Hilbert Space and the Characteristic Property of its Kernel

We prove an infinite-dimensional analog of the classical theorem on density of the set $C_0^1 (G)$ of finite smooth functions in the kernel of the boundary trace operator $γ: H_1(G) → L_2(∂G)$.

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Bibliographic Details
Date:	2015
Main Authors:	Bogdanskii, Yu. V., Богданский, Ю. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2015
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2081
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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