On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
β Scribed by Victor A. Galaktionov; Howard A. Levine
- Book ID
- 112886351
- Publisher
- The Hebrew University Magnes Press
- Year
- 1996
- Tongue
- English
- Weight
- 749 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0021-2172
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper we consider the heat equation u s β¬ u in an unbounded domain t N Ε½ . β;R with a partly Dirichlet condition u x, t s 0 and a partly Neumann condition u s u p on the boundary, where p ) 1 and is the exterior unit normal on the boundary. It is shown that for a sectorial domain in R 2 and
This note establishes the blow up estimates near the blow up time for a system of heat equations coupled in the boundary conditions. Under certain assumptions, the exact rate of blow up is established. We also prove that the only solution with vanishing initial values when pq G 1 is the trivial one.