G-convergence of parabolic operators
✍ Scribed by Nils Svanstedt
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 208 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We give a compactness result with respect to G-convergence for sequences of mixed evolution (elliptic-parabolic) equations P h u = ∂ t (μ h u)div(a h (x, t, Du)) = f , μ h positive, null and negative. We show that the limit operator is of the form P u = ∂ t (μu)div(a(x, t, Du)) and that μ and a are
## Abstract In this paper, weak (1,1) and __L^p^__ estimates for the parabolic Littlewood–Paley operators on some homogeneous spaces are established, which are extensions of known results. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We prove that any bounded global solution to a degenerate parabolic problem in one spatial dimension converges to a unique stationary state.