Solutions of Functorial and Non-Functorial Metric Domain Equations
✍ Scribed by F. Alessi; P. Baldan; G. Bellè; J.J.M.M. Rutten
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 598 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1571-0661
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract As a basic example, we consider the porous medium equation (__m__ > 1) equation image where Ω ⊂ ℝ^__N__^ is a bounded domain with the smooth boundary ∂Ω, and initial data $u\_0 \thinspace \varepsilon L^{\infty} \cap L^{1}$. It is well‐known from the 1970s that the PME admits separable
A contraction mapping (or, alternatively, an implicit function theory) argument is applied in combination with the Fredholm alternative to prove the existence of a unique stationary solution of the non-linear Boltzmann equation on a bounded spatial domain under a rather general reflection law at the