In this paper, we consider a semilinear heat equation ut= Δu+ c (x, t) up for (x, t)∈ Ω×(0,∞)
with nonlinear and nonlocal boundary condition u|∂ Ω×(0,∞)=∫ Ωk (x, y, t) uldy and …

In this paper, we establish the local existence of the solution and the finite time blow-up
result for the equationv τ= v mxx+ a∫ l− lv qdx, x∈− l, l, τ> 0. Moreover, it is proved that the …

This paper investigates the blow-up and global existence of nonnegative solutions of the
system [Formula: see text] with homogeneous Dirichlet boundary data, where Ω⊂ RN is a …

In this paper, we investigate the positive solution of nonlinear nonlocal porous medium
equation ut− Δu m= au p∝ Ω u qdx with homogeneous Dirichlet boundary condition and …

This paper investigates the blow-up and global existence of solutions of the degenerate
reaction–diffusion systemwith homogeneous Dirichlet boundary data, where Ω⊂ RN is a …

This paper is devoted to a porous medium system subject to nonlocal boundary conditions
and with nonlocal sources. We investigate the global existence and blow-up in finite time of …

We consider the Dirichlet problem for a non‐local reaction–diffusion equation with integral
source term and local damping involving power non‐linearities. It is known from previous …

In this article, the authors establish conditions for the extinction of solutions, in finite time, of
the fast diffusion equation u_t= Δ u^ m+ a\int_ Ω u^ p (y, t) dy,\0< m< 1, in a bounded domain …

This paper investigates the global existence and nonexistence of positive solutions of the
nonlinear degenerate parabolic equation μt= f (μu)(Δμ+ a ʃ ωμ dx) with a homogeneous …

In this paper, we establish the local existence of the solution and the finite-time blow-up
result for the following system:[Formula: see text][Formula: see text] where p, q≥ 1 and 0< …