Pavol Quittner Philippe Souplet Blow-up, Global Existence and Steady States Second
Edition Page 1 Birkhäuser Advanced Texts Basler Lehrbücher Pavol Quittner Philippe …

The subject of blow-up in a finite time, or at least very rapid growth, of a solution to a partial
differential equation has been an area of intense re search activity in mathematics. Some …

The initial boundary value problem of a class of reaction-diffusion systems (coupled
parabolic systems) with nonlinear coupled source terms is considered in order to classify the …

It is well known that inequalities are a very important tool in classical analysis. One
application of these inequalities is the theory of PDEs (Partial Differential Equations). To our …

This paper is concerned with positive solutions of the semilinear system:[Formula: see text]
which blow up at x= 0 and t= T<∞. We shall obtain here conditions on p, q and the space …

We study the blow-up phenomenon for non-negative solutions to the following parabolic
problem: where 0< p−= min p≤ p (x)≤ max p= p+ is a smooth bounded function. After …

This paper deals with a reaction-diffusion system with nonlocal sources. Under appropriate
hypotheses, we obtain that the solution either exists globally or blows up in finite time by …

We consider the nonlinear reaction-diffusion systemu t− Δu= u m1v n1, vt− Δv= u m2v n2,
subject to Dirichlet boundary conditions andm2> m1− 1, n1> n2− 1. We prove that ifm1≤ 1 …

Non-existence of Global Solutions to a System of Fractional Diffusion Equations | Acta
Applicandae Mathematicae Skip to main content SpringerLink Account Menu Find a journal …

In this paper, by using scalar nonlinear parabolic equations, we construct supersolutions for
a class of nonlinear parabolic systems including {∂ tu= Δ u+ vp, x∈ Ω, t> 0,∂ tv= Δ v+ uq …