Nonlocal Diffusion and Applications (Lecture Notes of the Unione Matematica Italiana, 20) - Softcover

Bucur, Claudia; Valdinoci, Enrico

 
9783319287386: Nonlocal Diffusion and Applications (Lecture Notes of the Unione Matematica Italiana, 20)
Softcover
ISBN 10: 3319287389 ISBN 13: 9783319287386
Publisher: Springer, 2016

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2016
Language
English
ISBN 10 
3319287389
ISBN 13 
9783319287386
Binding
Paperback
Edition number
1
Number of pages
167

Other Popular Editions of the Same Title

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Publisher: Springer, 2016
Softcover