S. Tayachi

activity

20132026

most citedLocal well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity

6 citations · 12 across the 15 of their papers we have counts for

collaborators

Showing 2019Show all

2 papers · 1 filter

math.AP2019

Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values

Hattab Mouajria, Slim Tayachi, Fred B. Weissler

In this paper we study global well-posedness and long time asymptotic behavior of solutions to the nonlinear heat equation with absorption, $u_{t} - Δ u + ∣ u ∣^{α} u = 0$ , where $u=u(t,x)…

math.AP2019

Global existence and decay estimates for the heat equation with exponential nonlinearity

Mohamed Majdoub, Slim Tayachi

In this paper we consider the initial value {problem $\partial_{t} u - Δ u = f (u),$ $u (0) = u_{0} \in e x p L^{p} (R^{N}),$ } where $p > 1$ and $f : R \to R$ having an expon…