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Zhang, Kewei (2006) Existence of infintely many solutions for the one-dimensional Perona-Malik model. Calculus of Variations and Partial Differential Equations, 26 (2). pp. 171-199. ISSN 0944-2669
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Official URL: http://dx.doi.org/10.1007/s00526-005-0363-4
Abstract
We establish the existence of infinitely many weak solutions for the the one-dimensional version of the well-known and widely used Perona-Malik anisotropic diffusion equation model in image processing. We establish the existence result under the homogeneous Neumann condition with smooth non-constant initial values. Our method is to convert the problem into a partial differential inclusion problem.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | Kewei Zhang |
Date Deposited: | 06 Feb 2012 21:03 |
Last Modified: | 10 Jul 2012 13:18 |
URI: | http://sro.sussex.ac.uk/id/eprint/29330 |