Bibliographic Information

Nonlocal and nonlinear diffusions and interactions : new methods and directions : Cetraro, Italy 2016

José Antonio Carrillo ... [et al.] ; Matteo Bonforte, Gabriele Grillo, editors

(Lecture notes in mathematics, 2186 . CIME Foundation subseries)

Springer , Fondazione CIME Roberto Conti, c2017

  • : [pbk.]

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Note

Other authors: Manuel del Pino, Alessio Figalli, Giuseppe Mingione, Juan Luis Vázquez

"We are honoured to have been the scientific organizers of the 2016 CIME Course 'Nonlocal and nonlinear diffusions and interactions. New methods and directions', which took place in Cetraro (Cosenza, Italy) on July 4–8, 2016, with the following sets of lectures: ..."--Pref

Includes bibliographical references

Description and Table of Contents

Description

Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems. The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field.

Table of Contents

Vincent Calvez, Jose Antonio Carrillo, and Franca Hoffmann The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime.- Manuel del Pino: Bubbling blow-up in critical parabolic problems.- Matteo Cozzi and Alessio Figalli: Regularity theory for local and nonlocal minimal surfaces: an overview.- Giuseppe Mingione: Short Tales from Nonlinear Calderon-Zygmund Theory.- Juan Luis Vazquez: The mathematical theories of diffusion: Nonlinear and fractional diffusion.

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