Jacques Giacomoni, Sweta Tiwari
First, we discuss the existence, the uniqueness and the regularity of the weak solution to the following parabolic equation involving the fractional p-Laplacian,
Next, we deal with the asymptotic behavior of global weak solutions. Precisely, we prove under additional assumptions on f and g that global solutions converge to the unique stationary solution as .
Submitted July 29, 2017. Published February 8, 2018.
Math Subject Classifications: 35K59, 35K55, 35B40.
Key Words: p-fractional operator; existence and regularity of weak solutions; asymptotic behavior of global solutions; stabilization.
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| Jacques Giacomoni |
Université de Pau et des Pays de l'Adour
CNRS, LMAP (UMR 5142), Bat. Ipra
avenue de l'Université, Pau, France
| Sweta Tiwari |
Department of Mathematics
IIT Guwahati, India
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