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Getting Acquainted with the Fractional Laplacian

  • Nicola Abatangelo
  • Enrico ValdinociEmail author
Chapter
Part of the Springer INdAM Series book series (SINDAMS, volume 33)

Abstract

These are the handouts of an undergraduate minicourse at the Università di Bari (see Fig. 1), in the context of the 2017 INdAM Intensive Period “Contemporary Research in elliptic PDEs and related topics”. Without any intention to serve as a throughout epitome to the subject, we hope that these notes can be of some help for a very initial introduction to a fascinating field of classical and modern research.

Keywords

Fractional calculus Functional Analysis Applications 

Notes

Acknowledgements

It is a great pleasure to thank the Università degli Studi di Bari for its very warm hospitality and the Istituto Nazionale di Alta Matematica for the strong financial and administrative support which made this minicourse possible. And of course special thanks go to all the participants, for their patience in attending the course, their competence, empathy and contagious enthusiasm. This work was supported by INdAM and ARC Discovery Project N.E.W. Nonlocal Equations at Work.

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Authors and Affiliations

  1. 1.Département de mathématiqueUniversité Libre de BruxellesIxellesBelgium
  2. 2.Department of Mathematics and StatisticsUniversity of Western AustraliaCrawleyAustralia

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