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Nonlocal Diffusion Problems
About this Title
Fuensanta Andreu-Vaillo, José M. Mazón, Universitat de València, València, Spain, Julio D. Rossi, Universidad de Alicante, Alicante, Spain and J. Julián Toledo-Melero, Universitat de València, València, Spain
Publication: Mathematical Surveys and Monographs
Publication Year:
2010; Volume 165
ISBNs: 978-0-8218-5230-9 (print); 978-1-4704-1392-7 (online)
DOI: https://doi.org/10.1090/surv/165
MathSciNet review: MR2722295
MSC: Primary 35-02; Secondary 35K55, 35R09, 47H20, 76R50
Table of Contents
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Front/Back Matter
Chapters
- 1. The Cauchy problem for linear nonlocal diffusion
- 2. The Dirichlet problem for linear nonlocal diffusion
- 3. The Neumann problem for linear nonlocal diffusion
- 4. A nonlocal convection diffusion problem
- 5. The Neumann problem for a nonlocal nonlinear diffusion equation
- 6. Nonlocal $p$-Laplacian evolution problems
- 7. The nonlocal total variation flow
- 8. Nonlocal models for sandpiles
- 9. Nonlinear semigroups