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Titlebook: Nonlocal Diffusion and Applications; Claudia Bucur,Enrico Valdinoci Book 2016 Springer International Publishing Switzerland 2016 35S05; 47

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書目名稱Nonlocal Diffusion and Applications
編輯Claudia Bucur,Enrico Valdinoci
視頻videohttp://file.papertrans.cn/668/667797/667797.mp4
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
叢書名稱Lecture Notes of the Unione Matematica Italiana
圖書封面Titlebook: Nonlocal Diffusion and Applications;  Claudia Bucur,Enrico Valdinoci Book 2016 Springer International Publishing Switzerland 2016 35S05; 47
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 Schr?dinger 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
關(guān)鍵詞35S05; 47G10; 35S30; 47B34; 35R11; 49Q05; 82D25; 74E15; 35Q40; ; Fractional diffusion; Fractional Lapl
版次1
doihttps://doi.org/10.1007/978-3-319-28739-3
isbn_softcover978-3-319-28738-6
isbn_ebook978-3-319-28739-3Series ISSN 1862-9113 Series E-ISSN 1862-9121
issn_series 1862-9113
copyrightSpringer International Publishing Switzerland 2016
The information of publication is updating

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Book 2016ractional 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.
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A Probabilistic Motivation,iting the domain for the first time by jumping to an outside point means earning a certain (known) quantity of sestertii, the payoff function will satisfy . in . with the given data outside the domain. This models are treated in an elementary way, and little knowledge on probability theory is required from the reader.
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An Introduction to the Fractional Laplacian,f-line, i.e. . on . and an example of a function with constant Laplacian on the ball. We also discuss some maximum principles and a Harnack inequality, and present a quite surprising local density property of .-harmonic functions into the space of smooth functions.
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Claudia Bucur,Enrico Valdinociow for existing technology. Given these results, the crucial open question is the following: would improvement in hardware lead to the realization of large scale, fault–tolerant, and computationally superior quantum computation, or is there still a fundamental obstacle that renders the entire project a wild goose chase?
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