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arXiv · 1907.10650

$(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces

J. M. Mazon·M. Solera·J. Toledo
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Abstract

In this paper we study the $(BV,L^p)$-decomposition, $p=1,2$, of functions in metric random walk spaces, a general workspace that includes weighted graphs and nonlocal models used in image processing. We obtain the Euler-Lagrange equations of the corresponding variational problems and their gradient flows. In the case $p=1$ we also study the associated geometric problem and the thresholding parameters.

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J. M. Mazon, M. Solera, J. Toledo. 2019-07-23. $(BV,L^p)$-decomposition, $p=1,2$, of Functions in Metric Random Walk Spaces. https://doi.org/10.1515/acv-2020-0011

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