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math.AP2017
On the viscous Burgers equation on metric graphs and fractals
Michael Hinz, Melissa Meinert
We study a formulation of Burgers equation on the Sierpinski gasket, which is the prototype of a p.c.f. self-similar fractal. One possibility is to implement Burgers equation as a…
math.PR2017
Probabilistic characterizations of essential self-adjointness and removability of singularities
Michael Hinz, Seunghyun Kang, Jun Masamune
We consider the Laplacian and its fractional powers of order less than one on the complement of a given compact set of zero Lebesgu…