A variational principle and its application to estimating the electrical capacitance of a perfect conductor
Mathematical Physics
2014-02-14 v1 math.MP
Abstract
Assume that A is a bounded selfadjoint operator in a Hilbert space H. Then, the variational principle is obtained for some functional. As an application of this principle, a variational principle for the electrical capacitance of a conductor of an arbitrary shape is derived.
Keywords
Cite
@article{arxiv.1402.3110,
title = {A variational principle and its application to estimating the electrical capacitance of a perfect conductor},
author = {Alexander G. Ramm},
journal= {arXiv preprint arXiv:1402.3110},
year = {2014}
}