Finite time blow-up for the harmonic map heat flow
β Scribed by Joseph F. Grotowski
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 236 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0944-2669
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π SIMILAR VOLUMES
In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L 2 -bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely
## Abstract We estimate the blowβup time for the reaction diffusion equation __u__~__t__~=Ξ__u__+ Ξ»__f__(__u__), for the radial symmetric case, where __f__ is a positive, increasing and convex function growing fast enough at infinity. Here Ξ»>Ξ»^\*^, where Ξ»^\*^ is the βextremalβ (critical) value for