Nonlocal Diffusion and Applications By: Claudia Bucur; Enrico Valdinoci Publisher: Springer Print ISBN: 9783319287386, 3319287389 eText ISBN: 9783319287393, 3319287397 Copyright year: 2016 Format: PDF Available from $ 69.99 USD SKU 9783319287393 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. Download eBook Free: https://ouo.io/lLmHNA
