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Linear and nonlinear diffusion with nonlocal fractional operators
Prof. Juan Luis Vązquez
Sala conferenze IMATI-CNR, Pavia - Martedì 16 Ottobre 2018 h.15:00
Abstract. After a brief presentation of the topic, we will discuss some recent results of the author and collaborators on the theory of linear and nonlinear elliptic and parabolic equations involving nonlocal effects. Attention is given to functional aspects and asymptotic bahaviour, and finally to problems in bounded domains.
Basic Reference:
JLV, "The mathematical theories of diffusion. Nonlinear and fractional diffusion", in ``Nonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions'', Springer Lecture Notes in Mathematics, C.I.M.E. Foundation Subseries.
arXiv:1706.08241 [math.AP].
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