2018
Том 70
№ 9

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

Bogdanskii Yu. V.

Abstract

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 $γ: H_1(G) → L_2(∂G)$.

English version (Springer): Ukrainian Mathematical Journal 67 (2015), no. 11, pp 1629-1642.

Citation Example: Bogdanskii Yu. V. Boundary Trace Operator in a Domain of Hilbert Space and the Characteristic Property of its Kernel // Ukr. Mat. Zh. - 2015. - 67, № 11. - pp. 1450-1460.

Full text