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Local and global solvability of fractional porous medium equations in critical Besov-Morrey spaces

In this article we study fractional porous medium equations in Besov-Morrey spaces. Using the Littlewood-Paley theory and the smoothing effect of the heat semi-group, we obtain local well-posedness of this model. Also, we obtain global well-posedness for small initial data in the critical Besov-M...

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Principais autores: Ahmed El Idrissi, Halima Srhiri, Brahim Boukari, Jalila El Ghordaf
Format: Artigo
Sprog:Inglês
Udgivet: Texas State University 2025-08-01
Serier:Electronic Journal of Differential Equations
Fag:
nonlinear diffusion
fractional porous medium equation
local and global well-posedness
besov-morrey spaces
fractional laplacians
Online adgang:http://ejde.math.txstate.edu/Volumes/2025/80/abstr.html
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