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

[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.

[学科分类] 数学（综合）

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