62 citations · 261 across the 45 of their papers we have counts for
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Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term
Bouthaina Abdelhedi, Hatem Zaag
We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier works [1, 2], we co…
Feedback controllability for blowup points of heat equation
Ping Lin, Hatem Zaag
This paper concerns a controllability problem for blowup points on heat equation. It can be described as follows: In the absence of control, the solution to the linear heat system…
Blowup solutions for the shadow limit model of singular Gierer-Meinhardt system with critical parameters
G. K. Duong, T. E. Ghoul, N. I. Kavallaris +1
We consider a nonlocal parabolic PDE, which may be regarded as the standard semilinear heat equation with power nonlinearity, where the nonlinear term is divided by some Sobolev no…
Behavior rigidity near non-isolated blow-up points for the semilinear heat equation
Frank Merle, Hatem Zaag
We consider the semilinear heat equation with Sobolev subcritical power nonlinearity in dimension , and a solution which blows up in finite time . Given a non isol…
The blow-up rate for a non-scaling invariant semilinear heat equation
Mohamed Ali Hamza, Hatem Zaag
We consider the semilinear heat equation with , where is Sobolev…
The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions
Mohamed Ali Hamza, Hatem Zaag
We consider the semilinear wave equation with , where and $a\in…