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160511 ||| eng |
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|a 9783319287393
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| 100 |
1 |
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|a Bucur, Claudia
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| 245 |
0 |
0 |
|a Nonlocal Diffusion and Applications
|h Elektronische Ressource
|c by Claudia Bucur, Enrico Valdinoci
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| 250 |
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|a 1st ed. 2016
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2016, 2016
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| 300 |
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|a XII, 155 p. 26 illus., 23 illus. in color
|b online resource
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| 653 |
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|a Functional analysis
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| 653 |
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|a Calculus of Variations and Optimal Control; Optimization
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Integral transforms
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| 653 |
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|a Partial Differential Equations
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| 653 |
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|a Integral Transforms, Operational Calculus
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| 653 |
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|a Partial differential equations
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| 653 |
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|a Operational calculus
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| 653 |
|
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|a Calculus of variations
|
| 700 |
1 |
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|a Valdinoci, Enrico
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
|
| 490 |
0 |
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|a Lecture Notes of the Unione Matematica Italiana
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-319-28739-3?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515.353
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| 520 |
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|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
|