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

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

Year:    2004

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 303–315

Abstract

We consider the equation u_t = Tr[B(x, t, Du, Φu)D²u] + F(x, t, u, Du, Φu, ψu) where Φ and ψ are vector-valued mappings. We obtain the existence and uniqueness of classical solution to the equation for a ∈- periodic initial data. The problem is naturally arisen from image denoising.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JPDE-5395

Journal of Partial Differential Equations, Vol. 17 (2004), Iss. 4 : pp. 303–315

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    ∈- periodic