Global existence and blow-up of solutions for a Non-Newton polytropic filtration system with special volumetric moisture content

Classification of certain qualitative properties of solutions for the quasilinear parabolic equations

“…In [30,32], the Fujita exponent for equations with weighted source of the form ∂u ∂t = div |∇u| p−2 ∇u + k 1 |x| 2 |∇u| m−1 ∇u · x + |x| λ u p were studied. In [23,38], the global existence, blowup and the blowup point of solutions for the doubly degenerate equations, i.e. equations with div (|∇u m | p−2 ∇u m ) were carefully studied.…”

Global existence and blow-up of solutions to a semilinear heat equation with singular potential and logarithmic nonlinearity

“…When s > 0 and f (u) is a polynomial, problem (2) has been studied in [3,8,13,29,33,36,37,38], and the global existence and blow-up conditions were got by means of potential well method.…”

Global Existence and Extinction Singularity for a Fast Diffusive Polytropic Filtration Equation with Variable Coefficient

“…Wang [34] generated the results in [33] to the case 0 < s ≤ 2. Zhou generated the results in [33] to the case s ≥ 2 and gave the global existence and blow-up results for (4) with p � 2 and m � 1 in [35,36], respectively. To the best knowledge of us, there is little work on the global existence and extinction behavior of problem (1).…”