The fractional Laplacian[electronic resource]
- 作者: Chen, Wenxiong.
- 其他作者: Li, Yan. , Ma, Pei.
- 出版: Singapore : World Scientific c2020.
- 稽核項: 1 online resource (x, 331 p.).
- 標題: Laplacian operator. , Fractional differential equations.
- ISBN: 9813224010 , 9789813224018
- ISBN: 9789813223998
- 試查全文@TNUA:
- 附註: Includes bibliographical references.
- 摘要: "This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence"--Publisher's website.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://www.worldscientific.com/worldscibooks/10.1142/10550#t=toc
- 系統號: 005332039
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence.
來源: Google Book
來源: Google Book
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