一类双曲型方程弱解的正则性 |
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引用本文: | 贺宣军,宋文静,夏子伦,郑钟志,段鹏. 一类双曲型方程弱解的正则性[J]. 云南民族大学学报(自然科学版), 2014, 0(2): 99-103 |
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作者姓名: | 贺宣军 宋文静 夏子伦 郑钟志 段鹏 |
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作者单位: | ;1.云南民族大学数学与计算机科学学院 |
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摘 要: | 在对偏微分方程的研究过程中,关于方程弱解正则性的研究是一个非常有价值的研究领域.在一定的假设条件下,利用一些方法和技巧术,可以获得一类偏微分方程初边值问题弱解的正则性.这些方法和技巧包括:副近法,弱收敛,不等式等.
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关 键 词: | 双曲型方程 正则性 弱收敛 伽罗金逼近 |
Regularity of the weak solutions for a class of hyperbolic equations |
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Abstract: | In the study of partial differential equation,research on the regularity of weak solutions is a very valuable research field. By making use of some methods and techniques,such as Galerkin- approximation,the weak convergence,Sobolev-inequalities,etc,the regularity of the weak solutions is obtained by studying the initial / boundary- value problem to above hyperbolic equations. |
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Keywords: | hyperbolic equations regularity weak convergence Galerkin-approximation |
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