A class of hyperbolic-parabolic coupled systems applied to image restoration

Boundary value problems

Junling Sun¹  Lei Sun¹  Jie Yang² 

[1] School of Information Engineering, Wuhan University of Technology, Wuhan, China;School of Mathematics and Information Science, Henan University of Polytechnic, Jiaozuo, China

关键词: image restoration;    parabolic equation;    hyperbolic equation;    nonlinear diffusion;    dissipative solution;    35K57;    35B32;    92D25;   

DOI  :  10.1186/s13661-016-0696-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper considers a coupled system with a new kind of hyperbolic-parabolic partial differential equations based on image restoration. We show that this system has global dissipative solutions under Dirichlet boundary conditions and initial condition. Meanwhile, an experimental approach is given to show the efficiency of this kind of model.

【 授权许可】

CC BY