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

Bucur, Claudia; Valdinoci, Enrico

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

Inhaltsangabe

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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Von der hinteren Coverseite

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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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319287389
ISBN 13 
9783319287386
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
172
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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