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Nonlocal Diffusion and Applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlocal Diffusion and Applications/ by Claudia Bucur, Enrico Valdinoci.
作者:	Bucur, Claudia.
其他作者:	Valdinoci, Enrico.
面頁冊數:	XII, 155 p. 26 illus., 23 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Partial differential equations. -
電子資源:	https://doi.org/10.1007/978-3-319-28739-3
ISBN:	9783319287393

Nonlocal Diffusion and Applications
Bucur, Claudia.

Nonlocal Diffusion and Applications[electronic resource] /by Claudia Bucur, Enrico Valdinoci. - 1st ed. 2016. - XII, 155 p. 26 illus., 23 illus. in color.online resource. - Lecture Notes of the Unione Matematica Italiana,201862-9113 ;. - Lecture Notes of the Unione Matematica Italiana,16.

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.

ISBN: 9783319287393

Standard No.: 10.1007/978-3-319-28739-3doiSubjects--Topical Terms:

1102982
Partial differential equations.

LC Class. No.: QA370-380

Dewey Class. No.: 515.353

Nonlocal Diffusion and Applications
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