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|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|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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