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.
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EAN: 9783319287386
UPC: 9783319287386
ISBN: 9783319287386
MPN: N/A
Item Length: 23.4 cm
Number of Pages: 155 Pages
Language: English
Publication Name: Nonlocal Diffusion and Applications
Publisher: Springer International Publishing Ag
Publication Year: 2016
Subject: Mathematics
Item Height: 235 mm
Item Weight: 2701 g
Type: Textbook
Author: Claudia Bucur, Enrico Valdinoci
Item Width: 155 mm
Format: Paperback
