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Lecture Notes of the Unione Matematica Italiana

Nonlocal Diffusion and Applications

Authors: Bucur, Claudia, Valdinoci, Enrico

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  • 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 and interesting research trends on the fractional Laplacian

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eBook £39.99
price for United Kingdom (gross)
  • ISBN 978-3-319-28739-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £49.99
price for United Kingdom (gross)
  • ISBN 978-3-319-28738-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“The book under review is a result of a series of lectures given in various places throughout the world. It gives an introduction to the analysis of nonlocal operators, most notably the fractional Laplacian. … the book does a great job of introducing the topic of nonlocal analysis for every newcomer in the field. It provides a good starting point for doing research and therefore is highly recommended.” (Łukasz Płociniczak, Mathematical Reviews, March, 2017)


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook £39.99
price for United Kingdom (gross)
  • ISBN 978-3-319-28739-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover £49.99
price for United Kingdom (gross)
  • ISBN 978-3-319-28738-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonlocal Diffusion and Applications
Authors
Series Title
Lecture Notes of the Unione Matematica Italiana
Series Volume
20
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-28739-3
DOI
10.1007/978-3-319-28739-3
Softcover ISBN
978-3-319-28738-6
Series ISSN
1862-9113
Edition Number
1
Number of Pages
XII, 155
Number of Illustrations
3 b/w illustrations, 23 illustrations in colour
Topics