Uniqueness of the very singular solution of a degenerate parabolic equation
β Scribed by Jeong-Seon Baek; Minkyu Kwak; Kyung Yu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 107 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We study the degenerate parabolic equation u q Ω ΠΈ f s Ω ΠΈ QΩu q g, where t Ε½ . ## N q x,t gβ«ήβ¬ β«ή=β¬ , the flux f, the viscosity coefficient Q, and the source term g Ε½ . depend on x, t, u and Q is nonnegative definite. Due to the possible degeneracy, weak solutions are considered. In general, the
This paper concerns the uniqueness of the bounded solution to a strongly degenerate parabolic problem. The equation considered may have two kinds of strong degeneracies and there is no restriction on the relation between the two degeneracies. By using Holmgren's approach, we prove that the bounded s