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Least gradient problem on annuli

math.AP · 2019-08-24 · conditional · novelty 6.0

For annuli in the plane, the BV least gradient problem with BV boundary data is shown to be equivalent to a boundary-to-boundary optimal transport problem, and under admissibility conditions a unique solution with W^{1,p} regularity exists.

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  • Least gradient problem on annuli math.AP · 2019-08-24 · conditional · none · ref 4

    For annuli in the plane, the BV least gradient problem with BV boundary data is shown to be equivalent to a boundary-to-boundary optimal transport problem, and under admissibility conditions a unique solution with W^{1,p} regularity exists.