• The fractional Laplacian[electronic resource] /
  • 紀錄類型: 書目-電子資源 : Monograph/item
    杜威分類號: 515.3533
    書名/作者: The fractional Laplacian/ Wenxiong Chen, Yan Li, Pei Ma.
    作者: Chen, Wenxiong.
    其他作者: Li, Yan.
    出版者: Singapore : : World Scientific,, c2020.
    面頁冊數: 1 online resource (x, 331 p.)
    標題: Laplacian operator.
    標題: Fractional differential equations.
    ISBN: 9789813224001
    ISBN: 9813224002
    ISBN: 9789813224018
    書目註: Includes bibliographical references.
    摘要、提要註: "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://www.worldscientific.com/worldscibooks/10.1142/10550#t=toc
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