| 一类非线性偏微分方程弱解的存在性 |
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| 引用本文： | 袁桓. 一类非线性偏微分方程弱解的存在性[J]. 科技咨询导报, 2013, 0(9): 234-234 |
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| 作者姓名： | 袁桓 |
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| 作者单位： | 四川大学数学学院 四川成都610065 |
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| 摘 要： | 解的存在性和正则性是偏微分方程研究的重要课题.古典解往往难以直接到达,数学上定义了可微性弱一点的强解和弱解,并发展了先求证强解或弱解的存在性,在利用先验估计提升正则性的方法.该文将证明一类非线性偏微分方程弱解的存在性.
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| 关 键 词： | Banach不动点定理 弱解存在性 非线性偏微分方程 |
The Existence of Weak Solution a Class of Nonlinear Partial Differential Equation |
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| YUAN Huan. The Existence of Weak Solution a Class of Nonlinear Partial Differential Equation[J]. , 2013, 0(9): 234-234 |
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| Authors: | YUAN Huan |
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| Affiliation: | YUAN Huan (College of Mathematics, Sichuan University Chengdu 610065 China) |
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| Abstract: | Existence of a solution and its regularity is one of the important issues of partial differential equation.However, classical solutions are often difficult to reach, so we define tess differentiabte strong solution and weak solution, the existence of which is easier to decide.Then with the use of a priori estimate we can improve its regularity.In this article the author will prove the existence of weak solution a class of nonlinear partial differential equation. |
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| Keywords: | Banach Fixed Point Theorem existence of weak solution nonlinear partial differential equation |
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