Nonlocal Diffusion and Applications

• Main Authors: Bucur, Claudia (Author), Valdinoci, Enrico (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes of the Unione Matematica Italiana, 20
• Subjects: Mathematics.; Functional analysis.; Integral transforms.; Operational calculus.; Partial differential equations.; Calculus of variations.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Integral Transforms, Operational Calculus.; Functional Analysis.

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 Schrödi...