| 书目名称 | Nonlocal Diffusion and Applications |
| 编辑 | Claudia Bucur,Enrico Valdinoci |
| 视频video | |
| 概述 | Gives a rich introduction to the fractional Laplacian and its applications.Well explained, self-contained and easy to follow, even for those who are not familiar with the subject.Contains brand new an |
| 丛书名称 | Lecture Notes of the Unione Matematica Italiana |
| 图书封面 |  |
| 描述 | Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger equations are given. Furthermore, an example of an s-harmonic function, its harmonic extension and some insight into a fractional version of a classical conjecture due to De Giorgi are presented. Although the aim is primarily to gather some introductory material concerning applications of the fractional Laplacian, some of the proofs and results are new. The work is entirely self-contained, and readers who wish to pursue related subjects of interest are invited to consult the rich bibliography for guidance. |
| 出版日期 | Book 2016 |
| 关键词 | 35S05; 47G10; 35S30; 47B34; 35R11; 49Q05; 82D25; 74E15; 35Q40; ; Fractional diffusion; Fractional Lapl |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-28739-3 |
| isbn_softcover | 978-3-319-28738-6 |
| isbn_ebook | 978-3-319-28739-3Series ISSN 1862-9113 Series E-ISSN 1862-9121 |
| issn_series | 1862-9113 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 17:04:50
