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Well-posedness of nonlinear diffusion models in image processing

00:00 26-04-2006

The Beltrami framework for image processing and analysis introduces a non-linear parabolic problem, called in this context the Beltrami flow. This flow is a particular case of degenerate parabolic equation. We study in the framework for functions of bounded variation, the well-posedness of the Beltrami flow. We prove existence and uniqueness of the weak solution in the BV space using lower semi-continuity results for convex functions of measures. The solution is defined via a variational inequality, following Temam's technique.

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