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math.AP2018
Sobolev spaces and calculus of variations on fractals
Michael Hinz, Dorina Koch, Melissa Meinert
The present note contains a review of -energies and Sobolev spaces on metric measure spaces that carry a strongly local regular Dirichlet form. These Sobolev spaces are then use…
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…