Laplacian with Respect to a Measure on the Riemannian Manifold and the Dirichlet problem. I

被引：0

作者：

Yu. V. Bogdanskii

A. Yu. Potapenko

机构：

[1] “Kyiv Polytechnic Institute” Ukrainian National Technical University,Institute of Applied System Analysis

来源：

Ukrainian Mathematical Journal | 2016年 / 68卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We propose an L2-version of the Laplacian with respect to a measure on the infinite-dimensional Riemannian manifold. The Dirichlet problem for equations with the proposed Laplacian is solved in a region of the Riemannian manifold from a certain class.

引用

页码：1021 / 1033

页数：12

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