@Article{JPDE-17-303, author = {Linghai Kong and Boling Guo }, 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} }