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Nonlocal Diffusion and Applications

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Nonlocal Diffusion and Applications

Claudia Bucur, Enrico Valdinoci

Springer
Collection: Lecture Notes of the Unione Matematica Italiana
Publication date : 2016-04-08

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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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About the book

Author

Claudia Bucur , Enrico Valdinoci

Imprint

Springer

Collection

Lecture Notes of the Unione Matematica Italiana

Publication date

2016-04-08

Pages

155 pages

Print ISBN

9783319287386

Language

English

Ebook informations

EAN EPUB

9783319287393

Price

£54.99

Copy count 1

Print count 15

File size 2263 Ko

Informations accessibility

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About author(s)

Claudia Bucur

Enrico Valdinoci

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