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math.AP2024
Subordinators and generalized heat kernels: Random time change and long time dynamics
N. Ajaber, A. Alshehri, H. Altamimi +2
This paper focuses on studying the long-time dynamics of the subordination process for a range of linear evolution equations, with a special emphasis on the fractional heat equatio…
math.AP2022★ 1 cited
On the Fujita exponent for a nonlinear parabolic equation with a forcing term
A. Alshehri, N. Aljaber, H. Altamimi +1
The purpose of this work is to analyze the blow-up of solutions of the nonlinear parabolic equation \[ u_t-Δu=|x|^α|u|^{p}+{\mathtt a}(t)\textbf{w}(x) \ \quad\mbox{for } (t,x)\in(0…