The semiflow of a reaction diffusion equation with a singular potential
β Scribed by Nikos I. Karachalios; Nikolaos B. Zographopoulos
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 380 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Using a new method, we generalize the blow up and existence result from P. Baras and J. A. Goldstein (1984, Trans. Amer. Math. Soc. 284, 121-139) to heat equations on the Heisenberg group. In doing so we need to overcome the difficulty that the equation in this case is both degenerate and of variabl
## 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.
We prove the existence of the Feynman-Kac propagators for the nonautonomous heat equation and the Γ°L p Γ L q Γ-smoothing theorem for the propagators.