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Fine Regularity Of Solutions Of Elliptic Partial Differential Equations 1st Edition Jan Malpwilliam P Ziemer

  • SKU: BELL-79385392
Fine Regularity Of Solutions Of Elliptic Partial Differential Equations 1st Edition Jan Malpwilliam P Ziemer
$ 31.00 $ 45.00 (-31%)

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Fine Regularity Of Solutions Of Elliptic Partial Differential Equations 1st Edition Jan Malpwilliam P Ziemer instant download after payment.

Publisher: 高等教育出版社
File Extension: PDF
File size: 49.64 MB
Pages: 291
Author: (捷克)简·马利(Jan Malý),(美)威廉姆·P·齐默(William P. Ziemer)
ISBN: 9787040517248, 7040517248
Language: English
Year: 2019
Edition: 1

Product desciption

Fine Regularity Of Solutions Of Elliptic Partial Differential Equations 1st Edition Jan Malpwilliam P Ziemer by (捷克)简·马利(jan Malý),(美)威廉姆·p·齐默(william P. Ziemer) 9787040517248, 7040517248 instant download after payment.

本书的主要目的是全面阐述作者关于发散形式的二阶椭圆拟线性方程弱解的边界正则性的相关工作成果。这些方程的结构容许系数在特定的Lᵖ空间中,因此从经典结果可知,弱解在内部是局部Hölder连续的。这里表明了,弱解在边界处是连续的当且仅当Wiener型条件得到满足,在调和函数的情形下,这个条件约化为著名的Wiener准则。这个分析的过程还包括对 Sobolev空间的“精细”分析以及相关非线性位势论的研究。术语“精细”是指由Wiener条件诱导的Rⁿ的拓扑结构。

本书还完整讲述了变分不等式的解的正则性,包括双障碍问题,其中障碍可以是不连续的。解的正则性涉及Wiener型条件并以精细拓扑结构的形式给出。本书还讨论了具有可微结构和 C¹ ᵃ障碍的微分算子的情形。书中的一章专门讨论了存在理论,从而为读者提供了从弱解的正则性到弱解的存在性的完整处理。

本书适合于对椭圆微分方程弱解的正则性理论、Sobolev空间和位势论感兴趣的研究生阅读,也可供相关研究人员参考。

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