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Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/16692

Title: On the Blow-up of Heat Flow for Conformal 3-Harmonic Maps
Authors: Chen, Chao-Nien;Cheung, L. F.;Choi, Y. S.;Law , C. K.
Contributors: 數學系
Date: 2002-12
Issue Date: 2013-06-05T07:32:13Z
Publisher: 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 D2 (a unit ball in R2) to S2 (a unit sphere in R3) under certain initial and boundary conditions. We generalize this result to the case of 3-harmonic map heat flow from D3 to S3. 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.
Relation: Transactions of the American Mathematical Society, 354(12): 5087-5110
Appears in Collections:[數學系] 期刊論文

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