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

Authors

  • Yu. V. Bogdanskii

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.

Published

25.09.2011

Issue

Section

Research articles

How to Cite

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”. Ukrains’kyi Matematychnyi Zhurnal, vol. 63, no. 9, Sept. 2011, pp. 1169-78, https://umj.imath.kiev.ua/index.php/umj/article/view/2795.