P-调和映射流的存在性与不唯一性

周春琴;王远弟

数学学报 ›› 1998, Vol. 41 ›› Issue (3)

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PDF(361 KB)
数学学报 ›› 1998, Vol. 41 ›› Issue (3) DOI: 10.12386/A1998sxxb0100
论文

P-调和映射流的存在性与不唯一性

    周春琴;王远弟
作者信息 +

Existence and Nonuniqueness for the Heat Flow of P Harmonic Maps

    ChunQin Zhou,YuanDi Wang
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摘要

构造了p调和发展方程的初边值问题的一个整体弱解;证明了当初值u0(x)是弱p调和映射但不是弱p驻调和映射时问题弱解的不唯一性.

Abstract

In this paper a weak solution to the heat flow for p harmonic maps are constructed. Nonuniqueness results for such solutions are also given when the first data u 0(x) is a weakly p harmonic map but not a weakly stationary harmonic map.

关键词

p-调和映射流 / 驻调和映射 / p-调和映射

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周春琴;王远弟. P-调和映射流的存在性与不唯一性. 数学学报, 1998, 41(3) https://doi.org/10.12386/A1998sxxb0100
ChunQin Zhou,YuanDi Wang. Existence and Nonuniqueness for the Heat Flow of P Harmonic Maps. Acta Mathematica Sinica, Chinese Series, 1998, 41(3) https://doi.org/10.12386/A1998sxxb0100
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