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math.SP2015★ 6 cited
Courant-sharp eigenvalues of Neumann 2-rep-tiles
Ram Band, Michael Bersudsky, David Fajman
We find the Courant-sharp Neumann eigenvalues of the Laplacian on some 2-rep-tile domains. In the domains we consider are the isosceles right triangle and the rectangle wi…
math.SP2014
Topological Properties of Neumann Domains
Ram Band, David Fajman
A Laplacian eigenfunction on a two-dimensional manifold dictates some natural partitions of the manifold; the most apparent one being the well studied nodal domain partition. An al…