In this paper, we study the free-boundary problem associated with a singular diffusion equation. An entropy equality derived by the authors for BV solutions in an earlier paper is used in its formulation. Existence, uniqueness, and regularity results are obtained.
BV solutions of a singular diffusion equation
β Scribed by J. X. Yin; H. L. Li; P. Y. H. Pang
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 183 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
In this paper, we study discontinuous solutions of a partial differential equation of strongly degenerate parabolic type. A notion of weak solutions of BV class is proposed, and existence and uniqueness results are obtained.
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