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Laplacian with Respect to a Measure on the Riemannian Manifold and the Dirichlet Problem. II

Bogdanskii, Yu. V. ; Potapenko, A. Yu

Ukrainian mathematical journal, 2017-04, Vol.68 (11), p.1665-1672 [Periódico revisado por pares]

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Título:
Laplacian with Respect to a Measure on the Riemannian Manifold and the Dirichlet Problem. II
Autor: Bogdanskii, Yu. V. ; Potapenko, A. Yu
Assuntos: Algebra ; Analysis ; Applications of Mathematics ; Brownian motion ; Dirichlet problem ; Geometry ; Mathematics ; Mathematics and Statistics ; Riemann manifold ; Statistics
É parte de: Ukrainian mathematical journal, 2017-04, Vol.68 (11), p.1665-1672
Descrição: We propose the L 2 -version of Laplacian with respect to a measure on the (infinite-dimensional) Riemannian manifold. The Dirichlet problem for equations with the introduced Laplacian is solved in a part of the Riemannian manifold of a certain class.
Editor: New York: Springer US
Idioma: Inglês

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