19 citations · 33 across the 10 of their papers we have counts for
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On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time
D. Del Santo, M. Prizzi
We find minimal regularity conditions on the coefficients of a parabolic operator, ensuring that no nontrivial solution tends to zero faster than any exponential.
Backward uniqueness for parabolic operators with non-Lipscitz coefficients
D. Del Santo, M. Prizzi
We investigate the relation between the backward uniqueness and the regularity of the coefficients for a parabolic operator. A necessary and sufficient condition for uniqueness is…
Averaging, Conley index continuation and recurrent dynamics in almost-periodic parabolic equations
Martino Prizzi
We study a non-autonomous parabolic equation with almost-periodic, rapidly oscillating principal part and nonlinear interactions. We associate to the equation a skew-product semifl…
On admissibility for parabolic equations in R^n
Martino Prizzi
We consider the parabolic equation and the corresponding semiflow in the phase space . We give conditions on the nonl…
Characterization of the limit of some higher dymensional thin domain problems
T. Elsken, M. Prizzi
A reaction-diffusion equation on a family of three dimensional thin domains, collapsing onto a two dimensional subspace, is considered. In \cite{\rfa pr..} it was proved that, as t…
Inertial manifolds on squeezed domains
M. Prizzi, K. P. Rybakowski
Let be an arbitrary smooth bounded domain in and be arbitrary. Squeeze by the factor in the -direction to obtain the squeezed domain $Ω_ε=\{(x,εy)\mid (…