Calculus of Variations and Geometric Measure Theory
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Functions of fractal bounded variation

Roger Züst

created by gelli on 20 Nov 2017

22 nov 2017 -- 18:00   [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

In this talk we introduce a notion of functions of fractal bounded variation. Here, the sup-norm of test functions as used in the classical definition is replaced by the Hoelder norm with respect to some exponent. Characteristic functions of domains with fractal bounderies are particular examples that belong to this class. Among a characterization in terms of currents, we state some properties that naturally extend those of classical BV functions such as higher integrability, decomposition into Hoelder functions and push forwards.

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