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Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
Fuensanta Andreu-Vaillo, Jose M. Mazon, Julio D. Rossi, J. Julian Toledo-Melero
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Description for Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
Hardcover. Series: Mathematical Surveys and Monographs. BIC Classification: PB. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 254 x 178 x 0. .
Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends ... Read more
Nonlocal diffusion problems arise in a wide variety of applications, including biology, image processing, particle systems, coagulation models, and mathematical finance. These types of problems are also of great interest for their purely mathematical content. This book presents recent results on nonlocal evolution equations with different boundary conditions, starting with the linear theory and moving to nonlinear cases, including two nonlocal models for the evolution of sandpiles. Both existence and uniqueness of solutions are considered, as well as their asymptotic behaviour. Moreover, the authors present results concerning limits of solutions of the nonlocal equations as a rescaling parameter tends ... Read more
Product Details
Format
Hardback
Publication date
2010
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
256
Place of Publication
Providence, United States
ISBN
9780821852309
SKU
V9780821852309
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
Reviews for Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)
“The results of this book are given with complete proofs and also an emphasis on the intuitive understanding of the results. This extends the audience beyond mathematicians to include engineers, physicists and biologists with a good background in Analysis and PDEs.”
Mathematical Reviews
Mathematical Reviews