Nonlocal and nonlinear diffusions and interactions : new methods and directions : Cetraro, Italy 2016 / José Antonio Carrillo, Manuel del Pino, Alessio Figalli, Giuseppe Mingione, Juan Luis Vázquez ; Matteo Bonforte, Gabriele Grillo, editors.

Format:

Book

Conference/Event

Author/Creator:

Carrillo, José Antonio, 1969- author.

Pino, Manuel del, author.

Figalli, Alessio, 1984- author.

Mingione, Giuseppe, 1972- author.

Vazquez, J. L. (Juan Luis), author.

Contributor:

Bonforte, Matteo, editor.

Grillo, Gabriele, editor.

Centro internazionale matematico estivo.

Conference Name:

CIME Course on Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions (2016 : Cetraro, Italy).

Series:

Lecture notes in mathematics (Springer-Verlag) ; 2186.

Lecture notes in mathematics (Springer-Verlag). CIME Foundation subseries

Lecture notes in mathematics, 0075-8434 ; 2186. CIME Foundation subseries

Language:

English

Subjects (All):

Nonlinear partial differential operators--Congresses.

Nonlinear partial differential operators.

Genre:

Conference papers and proceedings.

Physical Description:

ix, 278 pages : illustrations (some color) ; 24 cm.

Place of Publication:

Cham : Springer : Firenze : Fondazione CIME, Roberto Conti, Centro Internazionale Matematico Estivo International Mathematical Summer Center, [2017]

Summary:

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.

Contents:

1. The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime / Vincent Calvez, José Antonio Carrillo, and Franca Hoffman

2. Bubbling blow-up in critical parabolic problems / Manuel del Pino

3. Regularity theory for local and nonlocal minimal surfaces: an overview / Matteo Cozzi and Alessio Figalli

4. Short tales from nonlinear Calderón-Zygmund theory / Giuseppe Mingione

5. The mathematical theories of diffusion: nonlinear and fractional diffusion / Juan Luis Vázquez.

Notes:

Lectures.

Includes bibliographical references.

"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"--Preface, page v.

ISBN:

9783319614939

3319614932

OCLC:

1008588561

Publisher Number:

9783319614939