| 具源函数的p-Laplacian发展方程边界连续性 |
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| 引用本文： | 梁之磊.具源函数的p-Laplacian发展方程边界连续性[J].厦门大学学报(自然科学版),2009,48(6). |
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| 作者姓名： | 梁之磊 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361005 |
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| 摘 要： | 考虑退化方程u_t=div(|▽u|~(p-2)▽u)+u~q的Cauchy问题,其中初始函数u_0(x)的支集有界,p>2,1
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| 关 键 词： | p-Laplacian方程 自由边界 Lipschitz连续 |
The Continuity of Free Boundary to the p-Laplacian Equation with Nonlinear Source |
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| LIANG Zhi-lei.The Continuity of Free Boundary to the p-Laplacian Equation with Nonlinear Source[J].Journal of Xiamen University(Natural Science),2009,48(6). |
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| Authors: | LIANG Zhi-lei |
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| Abstract: | This paper is concerned with the Cauchy problem u_t=div(|▽u|~(p-2)▽u)+u~q,with initial u_0(x) has bounded compact support,p＞2,1＜q＜p-1,the most exist time 0＜T＜∞.This work establishes the regularity of the free boundary.By comparing with the constructed approximate sequence,the author proves that the boundary is Lip-continuous with space variables x,moreover,the boundary is local Lip-continuous with time variables t,provided that some assumptions on the initial data u_0 and q are made. |
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| Keywords: | p-Laplacian equation free boundary lipschitz continuity |
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