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Existence of infintely many solutions for the one-dimensional Perona-Malik model
journal contribution
posted on 2023-06-08, 08:39 authored by Kewei ZhangWe 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.
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Publication status
- Published
Journal
Calculus of Variations and Partial Differential EquationsISSN
0944-2669Publisher
Springer VerlagExternal DOI
Issue
2Volume
26Page range
171-199Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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