Dirichlet problem for the Poisson equation with an essentially infinite-dimensional elliptic operator

  • Yu. V. Bogdanskii

Abstract

In a special class of domains in an infinite-dimensional Hilbert space, the solvability of the Dirichlet problem for the Poisson equation with an elliptic operator of the form $(Lu)(x)=j(x)(u''(x))$ vanishing on cylindrical functions is proved.
Published
25.07.1994
How to Cite
BogdanskiiY. V. “Dirichlet Problem for the Poisson Equation With an Essentially Infinite-Dimensional Elliptic Operator”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 46, no. 7, July 1994, pp. 803–808, https://umj.imath.kiev.ua/index.php/umj/article/view/5670.
Section
Research articles