Nonlocal Diffusion and Applications (Paperback, 1st ed. 2016)

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 Schroedinger 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes of the Unione Matematica Italiana, 20
Release date:	April 2016
First published:	2016
Authors:	Claudia Bucur • Enrico Valdinoci
Dimensions:	235 x 155 x 9mm (L x W x T)
Format:	Paperback
Pages:	155
Edition:	1st ed. 2016
ISBN-13:	978-3-319-28738-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Promotions
LSN:	3-319-28738-9
Barcode:	9783319287386

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