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Produktbild: Nonlocal Diffusion and Applications
Band 20

Nonlocal Diffusion and Applications

Aus der Reihe Lecture Notes of the Unione Matematica Italiana

62,99 €

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.04.2016

Abbildungen

XII, 155 p. 26 illus., 23 illus. in color.

Verlag

Springer

Seitenzahl

155

Maße (L/B/H)

23,5/15,5/1 cm

Gewicht

271 g

Auflage

1st ed. 2016

Sprache

Englisch

ISBN

978-3-319-28738-6

Beschreibung

Rezension

“The book under review is a result of a series of lectures given in various places throughout the world. It gives an introduction to the analysis of nonlocal operators, most notably the fractional Laplacian. … the book does a great job of introducing the topic of nonlocal analysis for every newcomer in the field. It provides a good starting point for doing research and therefore is highly recommended.” (Łukasz Płociniczak, Mathematical Reviews, March, 2017)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

18.04.2016

Abbildungen

XII, 155 p. 26 illus., 23 illus. in color.

Verlag

Springer

Seitenzahl

155

Maße (L/B/H)

23,5/15,5/1 cm

Gewicht

271 g

Auflage

1st ed. 2016

Sprache

Englisch

ISBN

978-3-319-28738-6

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: Nonlocal Diffusion and Applications
  • Introduction.- 1 A probabilistic motivation.-1.1 The random walk with arbitrarily long jumps.- 1.2 A payoff model.-2 An introduction to the fractional Laplacian.-2.1 Preliminary notions.- 2.2 Fractional Sobolev Inequality and Generalized Coarea Formula.- 2.3 Maximum Principle and Harnack Inequality.- 2.4 An s-harmonic function.- 2.5 All functions are locally s-harmonic up to a small error.- 2.6 A function with constant fractional Laplacian on the ball.- 3 Extension problems.- 3.1 Water wave model.- 3.2 Crystal dislocation.- 3.3 An approach to the extension problem via the Fourier transform.- 4 Nonlocal phase transitions.- 4.1 The fractional Allen-Cahn equation.- 4.2 A nonlocal version of a conjecture by De Giorgi.- 5 Nonlocal minimal surfaces.- 5.1 Graphs and s-minimal surfaces.- 5.2 Non-existence of singular cones in dimension 2 5.3 Boundary regularity.- 6 A nonlocal nonlinear stationary Schrödinger type equation.- 6.1 From the nonlocal Uncertainty Principle to a fractional weighted inequality.- Alternative proofs of some results.- A.1 Another proof of Theorem  A.2 Another proof of Lemma 2.3.- References.