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math.CA2002
On approximation of functions from Sobolev spaces on metric graphs
Michael Solomyak
Some results on the approximation of functions from the Sobolev spaces on metric graphs by step functions are obtained. The estimates are uniform with respect to all graphs of a gi…
math.SP2002
On the eigenvalue estimates for the weighted Laplacian on metric graphs
Michael Solomyak
Eigenvalue behavior for the equation -λy"=Vu on the edges of a graph G of final total length, with a non-negative weight function V and under the Kirchhoff matching conditions at t…