most citedDirac operators and geodesic metric on the harmonic Sierpinski gasket and other fractal sets

23 citations · 23 across the 1 of their papers we have counts for

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2 papers

math.MG2012★ 23 cited

Dirac operators and geodesic metric on the harmonic Sierpinski gasket and other fractal sets

Michel L. Lapidus, Jonathan J. Sarhad

We construct Dirac operators and spectral triples for certain, not necessarily self-similar, fractal sets built on curves. Connes' distance formula of noncommutative geometry provi…

math.AP2009

The nonlinear Poisson equation via a Newton-imbedding procedure

Jonathan J. Sarhad

This article considers the semilinear boundary value problem given by the Poisson equation, -Δu=f(u) in a bounded domain Ω\subset \R^{n} with smooth boundary. For the zero boundary…