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arXiv · 1604.02319

Wellposedness of a nonlocal nonlinear diffusion equation of image processing

Patrick Guidotti·Yuanzhen Shao
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Abstract

Existence and uniqueness are established for a degenerate regularization of the well-known Perona-Malik equation proposed by the first author for non-smooth initial data. The results heavily rely on the choice of appropriate functional setting inspired by a recent approach to degenerate parabolic equations via so-called singular Riemannian manifolds introduced by Herbert Amann.

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Patrick Guidotti, Yuanzhen Shao. 2016-04-08. Wellposedness of a nonlocal nonlinear diffusion equation of image processing. https://doi.org/10.1016/j.na.2016.11.003

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