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一类非线性退化抛物型方程解的存在性与爆破

The Existence and Blowup of a Nonlinear Degenerate Parabolic Equation
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摘要 文章利用正则化方法证明了一类退化抛物型方程解的存在性,在一定条件下,讨论了解u在有限时刻T的爆破,给出了T的一个上界,并且对‖Δu‖进行估计。 In this paper, the local existence of the solution u from degenerate parabolic equation by regularization method are obtained, under some conditions, the blowup of the solution in a finite time T is also discussed. Finally, the upper limit of T and the estimation of ｜｜△u｜｜ are given.
作者 张为元 李俊林
机构地区 太原科技大学应用科学学院
出处 《太原科技大学学报》 2007年第1期54-57,共4页 Journal of Taiyuan University of Science and Technology
基金 山西省高校科技开发项目资助(200455 200513)
关键词 退化抛物型 初边值问题 爆破 degenerate parabolic equation, initial-boundary value problem, blowup
分类号 O175.26 [理学—基础数学]
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太原科技大学学报
2007年 第1期

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