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题名: On the Blow-up of Heat Flow for Conformal 3-Harmonic Maps
作者: Chen, Chao-Nien;Cheung, L. F.;Choi, Y. S.;Law , C. K.
贡献者: 數學系
日期: 2002-12
上传时间: 2013-06-05T07:32:13Z
出版者: American Mathematical Society
摘要: 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.
關聯: Transactions of the American Mathematical Society, 354(12): 5087-5110
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