We study blow-up versus global existence of solutions to a model semilinear parabolic equation in metric measure spaces. Applications to metric graphs and Riemannian manifolds are considered, pointing out the occurrence of the Fujita phenomenon
We study existence and non-existence of global solutions to the semilinear heat equation with a drif...
Abstract. For a class of semilinear parabolic equations on a bounded domain Ω, we analyze the behavi...
AbstractIn this paper, we derive blow-up rates for higher-order semilinear parabolic equations and s...
On Riemannian manifolds with negative sectional curvature, we study finite time blow-up and global e...
AbstractOn Riemannian manifolds with negative sectional curvature, we study finite time blow-up and ...
Abstract This paper deals with the existence and non-existence of the global solutions to the Cauchy...
We address local existence, blow-up and global existence of mild solutions to the semilinear heat eq...
It is well known from the work of [2] that the Fujita phenomenon for reaction-diffusion evolution eq...
It is well known from the work of Bandle et al. (J Differ Equ 251:2143-2163, 2011) that the Fujita p...
We address local existence, blow-up and global existence of mild solutions to the semilinear heat eq...
We examine the parabolic system of three equations $u_t$ - Δu = $v^p$, $v_t$ - Δv = $w^q$, $w_t$ - Δ...
We are concerned with global existence for semilinear parabolic equations on Riemannian manifolds wi...
We study existence and non-existence of global solutions to the semilinear heat equation with a drif...
Abstract. For a class of semilinear parabolic equations on a bounded domain Ω, we analyze the behavi...
AbstractIn this paper, we derive blow-up rates for higher-order semilinear parabolic equations and s...
On Riemannian manifolds with negative sectional curvature, we study finite time blow-up and global e...
AbstractOn Riemannian manifolds with negative sectional curvature, we study finite time blow-up and ...
Abstract This paper deals with the existence and non-existence of the global solutions to the Cauchy...
We address local existence, blow-up and global existence of mild solutions to the semilinear heat eq...
It is well known from the work of [2] that the Fujita phenomenon for reaction-diffusion evolution eq...
It is well known from the work of Bandle et al. (J Differ Equ 251:2143-2163, 2011) that the Fujita p...
We address local existence, blow-up and global existence of mild solutions to the semilinear heat eq...
We examine the parabolic system of three equations $u_t$ - Δu = $v^p$, $v_t$ - Δv = $w^q$, $w_t$ - Δ...
We are concerned with global existence for semilinear parabolic equations on Riemannian manifolds wi...
We study existence and non-existence of global solutions to the semilinear heat equation with a drif...
Abstract. For a class of semilinear parabolic equations on a bounded domain Ω, we analyze the behavi...
AbstractIn this paper, we derive blow-up rates for higher-order semilinear parabolic equations and s...
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