scholarly journals On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force

2013 ◽  
pp. 145-170 ◽  
Author(s):  
Mi-Ho Giga ◽  
Yoshikazu Giga ◽  
Atsushi Nakayasu
Keyword(s):  
Driving Force ◽  
Existence Results ◽  
Diffusion Equations ◽  
One Dimensional ◽  
Spatially Inhomogeneous ◽  
Singular Diffusion ◽  
General Existence ◽  
Singular Diffusion Equations

scholarly journals A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gang Dong ◽  
Boying Wu
Keyword(s):  
Noise Reduction ◽  
Noise Removal ◽  
Experimental Results ◽  
Diffusion Equations ◽  
Variation Method ◽  
Model Based ◽  
Singular Diffusion ◽  
Nonexistence Of Solutions ◽  
Singular Diffusion Equations ◽  
Variation Model

AbstractThis paper focuses on the problem of noise removal. First, we propose a new convex–nonconvex variation model for noise removal and consider the nonexistence of solutions of the variation model. Based on the new variation method, we propose a class of singular diffusion equations and prove the of solutions and comparison rule for the new equations. Finally, experimental results illustrate the effectiveness of the model in noise reduction.

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