| 李仲庆,付军.一个具退化强制的Laplace方程有界弱解存在性[J].,2019,59(2):218-220 |
| 一个具退化强制的Laplace方程有界弱解存在性 |
| Existence of bounded weak solutions to a Laplace equation with degenerate coercivity |
|
| DOI：10.7511/dllgxb201902015 |
| 中文关键词:Laplace方程退化强制正则化效应 |
| 英文关键词:Laplace equationsdegenerate coercivityregularizing effect |
| 基金项目:国家自然科学基金青年基金资助项目(11401252)；贵州财经大学引进人才科研启动项目(2018YJ26). |
|
| 摘要点击次数:810 |
| 全文下载次数:554 |
| 中文摘要: |
| 借助方程低阶项的正则化效应，得到了解的最大模估计．运用偏微分方程中的弱收敛方法，证明了椭圆方程有界弱解的存在性．应用此类方程解的结果和证明方法，可以进一步研究具一阶梯度项的椭圆方程、拟线性的具低阶项的p-Laplace方程以及带有零阶项的抛物方程等弱解的存在性，也可以进一步研究方程解的局部有界性． |
| 英文摘要: |
| With the help of the regularizing effect of the lower order term, the maximal norm estimate to the solutions is obtained. Based upon the weak convergence methods for partial differential equations, the existence of bounded weak solutions to an elliptic equation is testified. Employing the results and the methods used in this class of equations, the further investigation for the bounded weak solutions to other type of equations can be done. For instance, the elliptic equations with the first order gradient term, the quasi-linear p-Laplace equations with lower order term, the parabolic equations with zero order term and so on. Moreover, it is applied to the study of the local boundedness of the solutions. |
| 查看全文查看/发表评论下载PDF阅读器 |
| --> | 关闭 |
优惠券领取后72小时内有效，10万种最新考研考试考证类电子打印资料任你选。涵盖全国500余所院校考研专业课、200多种职业资格考试、1100多种经典教材，产品类型包含电子书、题库、全套资料以及视频，无论您是考研复习、考证刷题，还是考前冲刺等，不同类型的产品可满足您学习上的不同需求。 ...考试优惠券 本站小编 Free壹佰分学习网 2022-09-19