斜中曲率流演化下欧氏平面的全局横向稳定性
Global transversal stability of Euclidean planes under skew mean curvature flow evolutions
摘要:
本文证明了d维欧氏平面在斜中曲率流作用下的2维横向小扰动导致整体解以适当的范数收敛于未扰动平面.并阐明了解在索伯列夫空间中的长时间行为。
英文摘要:
In this paper, we prove that 2 dimensional transversal small perturbations of d-dimensional Euclidean planes under the skew mean curvature flow lead to global solutions which converge to the unperturbed planes in suitable norms. And we clarify the long time behaviors of the solutions in Sobolev spaces.
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