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Nonlocal Diffusion and Applications
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 Schröd...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Lecture Notes of the Unione Matematica Italiana,
20 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-28739-3 | ||
| 003 | DE-He213 | ||
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| 020 | |a 9783319287393 |9 978-3-319-28739-3 | ||
| 024 | 7 | |a 10.1007/978-3-319-28739-3 |2 doi | |
| 050 | 4 | |a QA370-380 | |
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| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Bucur, Claudia. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Nonlocal Diffusion and Applications |h [electronic resource] / |c by Claudia Bucur, Enrico Valdinoci. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XII, 155 p. 26 illus., 23 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 20 | |
| 520 | |a 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. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Functional analysis. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Integral Transforms and Operational Calculus. |
| 650 | 2 | 4 | |a Functional Analysis. |
| 700 | 1 | |a Valdinoci, Enrico. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319287386 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319287409 |
| 830 | 0 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 20 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-28739-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||