We study existence of global solutions and finite time blow-up of solutions to the Cauchy
problem for the porous medium equation with a variable density ρ (x) and a power-like …

We are concerned with nonnegative solutions to the Cauchy problem for the porous medium
equation with a variable density ρ (x) and a power-like reaction term up with p> 1. The …

This article is concerned with the qualitative properties for the Cauchy problem of a non-
Newtonian filtration equation with a reaction source term and volumetric moisture content …

Some transformations acting on radially symmetric solutions to the following class of
nonhomogeneous reaction‐diffusion equations| x| σ 1∂ tu= Δ um+| x| σ 2 up,(x, t)∈ ℝ …

In this paper, we study the existence of local/global solutions to the Cauchy problem (ρ (x)
u< sub> t= Δu+ q (x) u< sup> p,(x, t)∈ ℝ< sup> NX (0, T), u (x, 0)= u< sub> 0(x)≤ 0, x∈ ℝ< …

Some transformations acting on radially symmetric solutions to the followingclass of
nonhomogeneous reaction-diffusion equations| x| 𝜎1𝜕 tu= Δum+| x| 𝜎2up,(x, t)∈ RN×(0,∞) …

We study finite time blow-up and global existence of solutions to the Cauchy problem for the
porous medium equation with a variable density $\rho (x) $ and a power-like reaction term …

The main topic of this thesis concerns the study of global existence and blow-up of solutions
to certain nonlinear parabolic differential equations. The thesis is divided into three parts …

In this paper, the critical exponent for a porous medium equation with inhomogeneous
density has been investigated. Then it was proved that there has a critical exponent, for no …