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