Wednesday, November 21, 2012

1211.4139 (Amru Hussein)

Bounds on the negative eigenvalues of Laplacians on finite metric graphs    [PDF]

Amru Hussein
For a self--adjoint Laplace operator on a finite, not necessarily compact, metric graph lower and upper bounds on each of the negative eigenvalues are derived. For compact finite metric graphs Poincar\'{e} type inequalities are given.
View original: http://arxiv.org/abs/1211.4139

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