RT Journal Article
T1 Finite time extinction for nonlinear fractional evolution equations and related properties
A1 Díaz Díaz, Jesús Ildefonso
A1 Pierantozzi, T.b
A1 Vázquez, L.
AB The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is peculiar to certain nonlinear problems whose solutions exhibit an asymptotic behavior entirely different from the typical behavior of solutions associated to linear problems. The main goal of this work is twofold. Firstly, we extend some of the results known in the literature to the case in which the ordinary time derivative is considered jointly with a fractional time differentiation. Secondly, we consider the limit case when only the fractional derivative remains. The latter is the most extraordinary case, since we prove that the finite time extinction phenomenon still appears, even with a non-smooth profile near the extinction time. Some concrete examples of quasi-linear partial differential operators are proposed. Our results can also be applied in the framework of suitable nonlinear Volterra integro-differential equations.
PB Texas State University
SN 10726691
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24638
UL https://hdl.handle.net/20.500.14352/24638
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 28 abr 2025