2019
Том 71
№ 6

Divergence theorem in the $L_2$ -version. Application to the Dirichlet problem

Bogdanskii Yu. V.

Abstract

We propose the $L_2$ -version of the divergence theorem. The Green and Poisson operators associated with the infinitedimensional version of the Dirichlet problem are investigated.

Citation Example: Bogdanskii Yu. V. Divergence theorem in the $L_2$ -version. Application to the Dirichlet problem // Ukr. Mat. Zh. - 2018. - 70, № 5. - pp. 611-624.