Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/12525
Title: On the blow-up of heat flow for conformal 3-harmonic maps
Authors: Chen, CN
Cheung, LF
Choi, YS
Law, CK
Keywords: Blow up
Heat flow
Maximum principle
P-harmonic maps
Issue Date: 2002
Publisher: Amer Mathematical Soc
Source: Transactions of the American mathematical society, 2002, v. 354, no. 12, p. 5087-5110 How to cite?
Journal: Transactions of the American Mathematical Society 
Abstract: Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blow-up for the heat flow of harmonic maps from D 2 (a unit ball in R 2) to S 2 (a unit sphere in R 3) under certain initial and boundary conditions. We generalize this result to the case of 3-harmonic map heat flow from D 3 to S 3. In contrast to the previous case, our governing parabolic equation is quasilinear and degenerate. Technical issues such as the development of a new comparison theorem have to be resolved.
URI: http://hdl.handle.net/10397/12525
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-02-03054-4
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