In this paper we investigate the asymptotic behavior at infinity of the backward self-similar solution of the differential equation u t = Δ u + e u , x ∈ Ω ...

In this paper we investigate the asymptotic behavior at infinity of the backward self-similar solution of the differential equation u t = Δ u + e u , x ? ?

This section is devoted to preliminary facts on the stationary problem and the asymptotic behavior of solutions for (1.1)–(1.3). Moreover, (i) and (ii) of ...

Jul 25, 2024 · In this paper, the asymptotic behavior of a semilinear heat equation with long time memory and non-local diffusion is analyzed in the usual set-up for ...

Asymptotic behavior at infinity of the stationary solution to a semilinear heat equation. Ruihong Ji, Mingshu Fan, Hui Chen. Pages 1289-1292: View PDF. Article ...

Putting together (3.5)-(3.13), the result follows.. We next describe how the precise size of the region where solutions remain stationary depends on the value ...

Aug 15, 2024 · In this paper we investigate the asymptotic behavior, as time tends to infinity, of the solutions of an non-autonomous integro-partial ...

Nov 22, 2018 · The limiting behaviour of the solutions of the Heat Equation is our main concern in this paper, and the. Gaussian kernel will play a main role.

May 20, 1982 · Asymptotic behavior of the solution u(t, x; a, f). In the present section we consider the Cauchy problem for the semilinear heat equation ...

We study the boundedness of global solutions to the semilinear parabolic equations with combined nonlinearities.