Singular Solutions to the Problem with Initial Conditions for the Equation of Anisotropic Diffusion

Общая информация

 Аннотация

    For the equations of anisotropic diffusion that are used in image processing, a class of functions of the existence of the weak solution to the Cauchy problem in the form of Holder-continuous functions is found. The results of the numerical computations show that infinite gradients (edges) are protected simultaneously with noise elimination.

 Ключевые слова

    anisotropic diffusion, singularities, weak solutions, Holder-continuous functions
 

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