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  • © 2017

Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

Cetraro, Italy 2016

Authors:

Editors:

  1. José Antonio Carrillo

    1. Department of Mathematics, Imperial College London, London, United Kingdom

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  2. Manuel del Pino

    1. Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

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  3. Alessio Figalli

    1. Department of Mathematics, ETH Zürich, Zürich, Switzerland

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  4. Giuseppe Mingione

    1. Dipartimento di Matematica, Università di Parma, Parma, Italy

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  5. Juan Luis Vázquez

    1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

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  1. Matteo Bonforte

    1. Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

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  2. Gabriele Grillo

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

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  • Clearly presented, with a particular emphasis on introducing young students to important research topics
  • Features a state-of-the-art description of rapidly developing topics in nonlinear, nonlocal diffusions and interactions
  • Authored by well-known researchers, who have the capacity to single out some of the most promising topics in stationary and evolutionary local and nonlocal PDEs
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Mathematics (LNM, volume 2186)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-ix
    PDF

  2. The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime

    • Vincent Calvez, José Antonio Carrillo, Franca Hoffmann
    Pages 1-71

  5. Short Tales from Nonlinear Calderón-Zygmund Theory

    • Giuseppe Mingione
    Pages 159-204

  7. Back Matter

    Pages 279-280
    PDF
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About this book

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.
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Keywords

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Authors, Editors and Affiliations

  • Departamento de Matemáticas, Universidad Autónoma de Madrid, Madrid, Spain

    Matteo Bonforte, Juan Luis Vázquez

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Gabriele Grillo

  • Department of Mathematics, Imperial College London, London, United Kingdom

    José Antonio Carrillo

  • Departamento de Ingeniería Matemática, Universidad de Chile, Santiago, Chile

    Manuel del Pino

  • Department of Mathematics, ETH Zürich, Zürich, Switzerland

    Alessio Figalli

  • Dipartimento di Matematica, Università di Parma, Parma, Italy

    Giuseppe Mingione

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Bibliographic Information

  • Book Title: Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions

  • Book Subtitle: Cetraro, Italy 2016

  • Authors: José Antonio Carrillo, Manuel del Pino, Alessio Figalli, Giuseppe Mingione, Juan Luis Vázquez

  • Editors: Matteo Bonforte, Gabriele Grillo

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-319-61494-6

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2017

  • Softcover ISBN: 978-3-319-61493-9Published: 04 October 2017

  • eBook ISBN: 978-3-319-61494-6Published: 03 October 2017

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: IX, 280

  • Number of Illustrations: 5 b/w illustrations, 24 illustrations in colour

  • Topics: Partial Differential Equations, Functional Analysis, Mathematical Applications in the Physical Sciences

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Buy it now

eBook USD 29.99 USD 49.99
40% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99 USD 64.99
38% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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