J4
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李岩波, 李辉来
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LI Yanbo, LI Huilai
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摘要： 研究当p∈(1,2)∪(2,+∞)时发展的p-Laplace方 程解的障碍现象, 得到了慢速扩散情形(p>2)下解的L∞-障碍现象和快速扩散情形(11-障碍现象. 此外, 对于具有源项慢速扩散方程, 得到了解的有限传播性质.
关键词: 障碍现象, 有限传播, 退缩性, 奇性
Abstract: We studied the obstruction phenomenon aris ing from the solution of the evolution p-Laplaceequation with p∈(1,2)∪(2,+∞). The L∞-obstruction phenomenon in the case of p>2(slow diffusion) and the L1-obstruction phenomenon in the case of 1<p<2 (fast diffusion) were proved respectively. For the slow diffusion equation with the source term, we also obtained the finite propagation property of solution.
Key words: obstruction phenomenon, finite propagation, degeneracy, singularity
中图分类号:
李岩波, 李辉来. 发展的p-Laplace方程解的障碍行为[J]. J4, 2008, 46(02): 234-236.
LI Yanbo, LI Huilai. Obstruction Phenomenon of the Solution tothe Evolution p-Laplace Equation[J]. J4, 2008, 46(02): 234-236.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2008/V46/I02/234
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