2017
Том 69
№ 9

All Issues

Laplacian with respect to a measure on a Hilbert space and an L 2-version of the Dirichlet problem for the Poisson equation

Bogdanskii Yu. V.

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Abstract

We propose a version of the Laplace operator for functions on a Hilbert space with measure. In terms of this operator, we investigate the Dirichlet problem for the Poisson equation.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 9, pp 1336-1348.

Citation Example: Bogdanskii Yu. V. Laplacian with respect to a measure on a Hilbert space and an L 2-version of the Dirichlet problem for the Poisson equation // Ukr. Mat. Zh. - 2011. - 63, № 9. - pp. 1169-1178.

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