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The anisotropic total variation flow

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Abstract.

We prove existence and uniqueness of solutions of the Anisotropic Total Variation Flow when the initial data is an L2 function and we give a characterization of such solutions that allows us to find explicit evolutions of sets in the presence of an anisotropy.

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Authors and Affiliations

  1. Dep. Análisis Matemático, Universitat de València, Dr. Moliner 50, 46100, Burjassot, Spain

    J. S. Moll

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  1. J. S. Moll
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Correspondence to J. S. Moll.

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Mathematics Subject Classification (2000): 35k65, 35k55, 35k60

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Moll, J. The anisotropic total variation flow. Math. Ann. 332, 177–218 (2005). https://doi.org/10.1007/s00208-004-0624-0

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  • DOI: https://doi.org/10.1007/s00208-004-0624-0

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