Dirichlet problem for the Poisson equation with an essentially infinite-dimensional elliptic operator
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.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1994
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5670 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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