The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators

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Abstract

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We consider the equation u_t = Tr[B(x, t, Du, \u03a6u)D\u00b2u] + F(x, t, u, Du, \u03a6u, \u03c8u) where \u03a6 and \u03c8 are vector-valued mappings. We obtain the existence and uniqueness of classical solution to the equation for a \u2208- periodic initial data. The problem is naturally arisen from image denoising.<\/p>"

Keywords:

∈- periodic;degenerate parabolic;regularization;image denoising
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The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators. (2020). Journal of Partial Differential Equations, 17(4), 303-315. https://global-sci.com/index.php/jpde/article/view/14897