Approximation of BV by SBV functions in metric spaces

Published 12 Jun 2018 in math.MG | (1806.04647v1)

Abstract: In a complete metric space that is equipped with a doubling measure and supports a Poincar\'e inequality, we show that functions of bounded variation (BV functions) can be approximated in the strict sense and pointwise uniformly by special functions of bounded variation, without adding significant jumps. As a main tool, we study the variational 1-capacity and its BV analog.

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Authors (1)

Panu Lahti

Citations (6)

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