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Type: Artigo
Title: Minimizing movement for a fractional porous medium equation in a periodic setting
Author: Ferreira, L. C. F.
Santos, M. C.
Valencia-Guevara, J. C.
Abstract: We consider a fractional porous medium equation that extends the classical porous medium and fractional heat equations. The flow is studied in the space of periodic probability measures endowed with a non-local transportation distance constructed in the spirit of the Benamou-Brenier formula. For initial periodic probability measures, we show the existence of absolutely continuous curves that are generalized minimizing movements associated to Renyi entropy. We also develop a subdifferential calculus in our setting
Subject: Laplaciano fracionário
Country: França
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.bulsci.2019.01.016
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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