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

Junling Sun, Jie Yang, Lei Sun

Type: Article

Publication Date: 2016-10-24

Citations: 8

DOI: https://doi.org/10.1186/s13661-016-0696-2

Abstract

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.

Locations

Boundary Value Problems - View - PDF

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+	None	2001	Yunmei Chen Paromita Bose
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+	Partial Differential Equations	2010	Lawrence Evans
+	Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images	1984	Stuart Geman Donald Geman
+	Entropy solutions for a fourth-order nonlinear degenerate problem for noise removal	2006	Qiang Liu Zheng‐an Yao Yuanyuan Ke
+ PDF Chat	Compact sets in the spaceL p (O,T; B)	1986	Jacques Simon
+	Topological Methods in the Theory of Nonlinear Integral Equations.	1968	E. H. Rothe M. A. Krasnosel’skii A. H. Armstrong J. Burlak
+ PDF Chat	Optimal approximations by piecewise smooth functions and associated variational problems	1989	David Mumford Jayant Shah
+ PDF Chat	Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II	1992	Luis Álvarez Pierre-Louis Lions Jean‐Michel Morel
+	Approximation of functional depending on jumps by elliptic functional via t‐convergence	1990	Luigi Ambrosio Vincenzo Maria Tortorelli