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math.DG2022★ 2 cited
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
Michela Egidi, Katie Gittins, Georges Habib +1
In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral result…
math.AP2022
Heat flow in polygons with reflecting edges
Sam Farrington, Katie Gittins
We investigate the heat flow in an open, bounded set in with polygonal boundary . We suppose that contains an open, bounded set w…