| 一类抛物型方程的粘性解 |
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| 引用本文： | 边保军.一类抛物型方程的粘性解[J].浙江大学学报(理学版),2000,27(1):32-34. |
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| 作者姓名： | 边保军 |
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| 作者单位： | 浙江大学玉泉校区数学系!浙江杭州310027 |
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| 基金项目： | 国家自然科学基金!(196 310 5 0 )资助项目 |
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| 摘 要： | 讨论一类退化、奇异抛物型方程的初边值问题. 通过构造上下解 ,利用粘性解的比较原理和 Perron方法 ,证明了这类问题粘性解的存在性和唯一性.
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| 关 键 词： | 抛物型方程 粘性解 Perron方法 |
| 修稿时间： | 1997-04-26 |
Viscosity solutions for a class of parabolic equations |
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| BIAN Bao\|jun.Viscosity solutions for a class of parabolic equations[J].Journal of Zhejiang University(Sciences Edition),2000,27(1):32-34. |
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| Authors: | BIAN Bao\|jun |
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| Institution: | (Department of Mathematics, Zhejiang University, Hangzhou 310027,China |
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| Abstract: | In this paper the initial and Dirichlet problem for a class of degenerate and singular nonlinear parabolic equations were investigated. This problem was derived from the evolution of a parametric surface by its mean curvature subject to fixed boundary conditions. The existence and uniqueness of viscosity solutions by constructing subsolutions and supersolutions were proved. |
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| Keywords: | parabolic equations viscosity solutions Perron s method |
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