The Library
Improved regularity of harmonic map flows with Milder continuous energy
Tools
Tools
Tools
UNSPECIFIED. (2004) Improved regularity of harmonic map flows with Milder continuous energy. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 21 (1). pp. 47-55. ISSN 0944-2669
Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/s00526-003-0246-5
Abstract
For a smooth harmonic map flow u : M x [0, T) --> N with blow-up as t up arrow T, it has been asked [6,5,7] whether the weak limit u(T) : M --> N is continuous. Recently, in [12], we showed that in general it need not be. Meanwhile, the energy function E(u(.)) : [0, T) --> R, being weakly positive, smooth and weakly decreasing, has a continuous extension to [0, T]. Here we show that if this extension is also Holder continuous, then the weak limit u(T) must also be Holder continuous.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS |
| Publisher: | SPRINGER |
| ISSN: | 0944-2669 |
| Date: | September 2004 |
| Volume: | 21 |
| Number: | 1 |
| Number of Pages: | 9 |
| Page Range: | pp. 47-55 |
| Identification Number: | 10.1007/s00526-003-0246-5 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8082 |
Data sourced from Thomson Reuters' Web of Knowledge
Actions (login required)
 |
View Item |
