Existence and uniqueness of weak solutions for some singular evolutionary system in image denoising
โ Scribed by Liu, Qiang; Gao, Tianling; Xia, Li
- Book ID
- 120552686
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 139 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.2916
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## Abstract This paper deals with the initial and boundary value problem for a singular nonlinear parabolic equation. The existence of solutions is established by parabolic regularization. Some properties of solutions, for instance localization and large time behaviour are also discussed. Copyright
We are concerned with the uniqueness and existence of positive solutions for the following Dirichlet
We study the Cauchy problem for systems of conservation laws which belong to the Temple class. The compensated-compactness theory is used to prove existence of solutions. Some uniqueness results are established by means of Holmgren's principle.