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Nonlocal Diffusion and Applications by Claudia Bucur
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Description

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.
Release date Australia
April 18th, 2016
Audience
  • Postgraduate, Research & Scholarly
Edition
1st ed. 2016
Illustrations
23 Illustrations, color; 3 Illustrations, black and white; XII, 155 p. 26 illus., 23 illus. in color.
Pages
155
Dimensions
155x235x9
ISBN-13
9783319287386
Product ID
24492759

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