This monograph has grown out of research we started in 1987, although the foun dations
were laid in the 1970's when both of us were working on our doctoral theses, trying to …

We classify all the blow-up solutions in self-similar form to the following reaction-diffusion
equation\partial_tu= Δ u^ m+| x|^ σ u^ p, posed for (x,t)∈R^N*(0,T), with m>1, 1≦p<m and …

We perform a thorough study of the blow up profiles associated to the following second
order reaction-diffusion equation with non-homogeneous reaction:∂ tu=∂ xx (um)+| x| σ up …

We analyze travelling wave (TW) solutions for nonlinear systems consisting of an ODE
coupled to a degenerate PDE with a diffusion coefficient that vanishes as the solution tends …

We prove existence and uniqueness of\emph {eternal solutions} in self-similar form growing
up in time with exponential rate for the weighted reaction-diffusion equation …

We prove existence and uniqueness of the branch of the so-called anomalous eternal
solutions in exponential self-similar form for the subcritical fast-diffusion equation with a …

This paper deals with a nonhomogeneous scalar parabolic equation with possibly
degenerate diffusion term; the process has only one stationary state. The equation can be …

CONTINUOUS DEPENDENCE IN FRONT PROPAGATION OF CONVECTIVE REACTION-DIFFUSION
EQUATIONS Luisa Malaguti Cristina Marcelli Serena Ma Page 1 COMMUNICATIONS ON …

This paper is concerned with traveling wavefronts for the evolutionary p-Laplacian with time
delay. We first establish some necessary and sufficient conditions for the existence of …

We extend the differential-algebraic equation (DAE) taxonomy by assuming that the
linearization of a DAE about a singular equilibrium has a particular index-2 Kronecker …