Geodesic
Image filtering with the use of anisotropic diffusion
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 396-403

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A system of nonlinear parabolic equations describing the evolution of a color image is considered. The existence and uniqueness of a global solution to the mixed problem for this system is proved. 
@article{ZVMMF_2017_57_3_a3,
     author = {L. E. Rossovskii},
     title = {Image filtering with the use of anisotropic diffusion},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {396--403},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a3/}
}
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L. E. Rossovskii. Image filtering with the use of anisotropic diffusion. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 3, pp. 396-403. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_3_a3/