Infinite-dimensional Dirichlet operators I: Essential selfadjointness and associated elliptic equations |
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Authors: | Ju G Kondratiev T V Tsycalenko |
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Institution: | (1) BiBoS Research Center, University of Bielefeld, Germany;(2) Institute of Mathematics, Kiev, Ukraine |
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Abstract: | We give sufficient conditions for essential selfadjointness of operators associated with classical Dirichlet forms on Hilbert spaces and of potential perturbations of Dirichlet operators. We also study the smoothness of generalized solutions of elliptic equations corresponding to the Dirichlet operators.Supported by the Alexander von Humboldt Foundation. |
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Keywords: | 31C25 60J60 60G30 81E08 |
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