Existence and global behavior of solutions to fractional p-Laplacian parabolic problems

First, we discuss the existence, the uniqueness and the regularity of the weak solution to the following parabolic equation involving the fractional p-Laplacian, $$\displaylines{ u_t+(-\Delta)_{p}^su +g(x,u)= f(x,u)\quad \text{in } Q_T:=\Omega\times (0,T), \cr u = 0 \quad \text{in } \mathbb{R}^...

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Bibliographic Details
Main Authors: Jacques Giacomoni, Sweta Tiwari
Format: Article
Language:English
Published: Texas State University 2018-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/44/abstr.html