Direct And Inverse Methods In Nonlinear
β Greco A (Ed)
π Library
π
2003
π Springer
π English
β¦ LIBER β¦
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Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions: Cetraro, Italy 2016
β Scribed by JosΓ© Antonio Carrillo et al. (eds.)
- Publisher
- Springer International Publishing
- Year
- 2017
- Tongue
- English
- Leaves
- 288
- Series
- C.I.M.E. Foundation Subseries 2186
- Edition
- 1
- Category
- Library
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β¦ Synopsis
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.
β¦ Table of Contents
Front Matter ....Pages i-ix
The Geometry of Diffusing and Self-Attracting Particles in a One-Dimensional Fair-Competition Regime (Vincent Calvez, JosΓ© Antonio Carrillo, Franca Hoffmann)....Pages 1-71
Bubbling Blow-Up in Critical Parabolic Problems (Manuel del Pino)....Pages 73-116
Regularity Theory for Local and Nonlocal Minimal Surfaces: An Overview (Matteo Cozzi, Alessio Figalli)....Pages 117-158
Short Tales from Nonlinear CalderΓ³n-Zygmund Theory (Giuseppe Mingione)....Pages 159-204
The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion (Juan Luis VΓ‘zquez)....Pages 205-278
Back Matter ....Pages 279-280
β¦ Subjects
Partial Differential Equations
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