Regularity condition by mean oscillation to a weak solution of the 2-dimensional Harmonic heat flow into sphere

详细信息    查看全文

• 作者：Masashi Misawa and Takayoshi Ogawa
• 关键词：Mathematics Subject Classification (2000) Primary ; 35K55 ; 58E20 ; Secondary ; 58J35 ; 46E30
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2008
• 出版时间：December, 2008
• 年：2008
• 卷：33
• 期：4
• 页码：391-415
• 全文大小：322.6 KB

文摘

We show a regularity criterion to the harmonic heat flow from 2-dimensional Riemannian manifold M into a sphere. It is shown that a weak solution of the harmonic heat flow from 2-dimensional manifold into a sphere is regular under the criterion ¨°₀T||?u(t)||_BMOr2d t\int\limits_0^T\|\nabla u(\tau)\|_{BMO_r}^{2}d \tau