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Nonlocal Diffusion and Applications
Bucur, Claudia; Valdinoci, Enrico
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Description for Nonlocal Diffusion and Applications
Paperback. Series: Lecture Notes of the Unione Matematica Italiana. Num Pages: 167 pages, 3 black & white illustrations, 23 colour illustrations, biography. BIC Classification: PBKF; PBKJ; PBKL; PBKQ. Category: (G) General (US: Trade). Dimension: 235 x 155 x 9. Weight in Grams: 273.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
167
Condition
New
Series
Lecture Notes of the Unione Matematica Italiana
Number of Pages
155
Place of Publication
Cham, Switzerland
ISBN
9783319287386
SKU
V9783319287386
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Nonlocal Diffusion and Applications
“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 ... Read more