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 co...
We present some sharper finite extinction time results for solutions of a class of damped nonlinear ...
International audienceWe study the long time behaviour of solutions of semi-linear parabolic equatio...
International audienceWe study the property of extinction in a finite time for nonnegative solutions...
The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is p...
The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is ...
AbstractThis work concerns a nonlinear diffusion–absorption equation with nonlinear boundary flux. T...
AbstractWe consider a class of degenerate diffusion equations where the nonlinearity is assumed to b...
We study the ”finite extinction phenomenon”(there exists t0 ≥ 0 such that u(t, x) ≡ 0 ∀t ≥ t0, a.e. ...
We prove the \textit{finite time extinction property} $(u(t)\equiv 0$ on $\Omega$ for any $t\ge T_\s...
In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value problem dr...
We study the general family of nonlinear evolution equations of fractional diffusive type [delta]u-d...
This paper concerns the study of the extinction time of the solution of the following initial-bounda...
In this thesis, we are interested in fractional differential equations. We begin by studying a time ...
We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singul...
AbstractThe asymptotic behavior for solutions of a weighted Cauchy-type nonlinear fractional problem...
We present some sharper finite extinction time results for solutions of a class of damped nonlinear ...
International audienceWe study the long time behaviour of solutions of semi-linear parabolic equatio...
International audienceWe study the property of extinction in a finite time for nonnegative solutions...
The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is p...
The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is ...
AbstractThis work concerns a nonlinear diffusion–absorption equation with nonlinear boundary flux. T...
AbstractWe consider a class of degenerate diffusion equations where the nonlinearity is assumed to b...
We study the ”finite extinction phenomenon”(there exists t0 ≥ 0 such that u(t, x) ≡ 0 ∀t ≥ t0, a.e. ...
We prove the \textit{finite time extinction property} $(u(t)\equiv 0$ on $\Omega$ for any $t\ge T_\s...
In this article, we focus on a doubly nonlinear nonlocal parabolic initial boundary value problem dr...
We study the general family of nonlinear evolution equations of fractional diffusive type [delta]u-d...
This paper concerns the study of the extinction time of the solution of the following initial-bounda...
In this thesis, we are interested in fractional differential equations. We begin by studying a time ...
We consider a class of degenerate diffusion equations where the nonlinearity is assumed to be singul...
AbstractThe asymptotic behavior for solutions of a weighted Cauchy-type nonlinear fractional problem...
We present some sharper finite extinction time results for solutions of a class of damped nonlinear ...
International audienceWe study the long time behaviour of solutions of semi-linear parabolic equatio...
International audienceWe study the property of extinction in a finite time for nonnegative solutions...