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A study in the BV space of a denoising-deblurring variational problem. (English) Zbl 1003.35009
A variational problem arsing in image recovery is studied. The existence and the uniqueness of a solution is proved in the framework of functions of bounded variations; the associated evolution equation is studied in the context of nonlinear semigroup; the discretized result by finite difference schemes is presented.

MSC:
35A15 Variational methods applied to PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
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