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Volume 17, Issue 4
The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators

Linghai Kong & Boling Guo

J. Part. Diff. Eq., 17 (2004), pp. 303-315.

Published online: 2004-11

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  • 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.

  • Keywords

∈- periodic degenerate parabolic regularization image denoising

  • AMS Subject Headings

35K55 35K15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-17-303, author = {}, title = {The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {4}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5395.html} }
TY - JOUR T1 - The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators JO - Journal of Partial Differential Equations VL - 4 SP - 303 EP - 315 PY - 2004 DA - 2004/11 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5395.html KW - ∈- periodic KW - degenerate parabolic KW - regularization KW - image denoising AB -

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.

Linghai Kong & Boling Guo . (2019). The Classical Solutions to a Cauchy Problem of Parabolic Type Coupled with Operators. Journal of Partial Differential Equations. 17 (4). 303-315. doi:
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