19 citations · 33 across the 10 of their papers we have counts for
6 papers · 1 filter
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 (…
A remark on well-posedness for hyperbolic equations with singular coefficients
Martino Prizzi, Daniele Del Santo
We prove some and Gevrey well-posedness results for hyperbolic equations with singular coefficients.
Inertial manifolds for reaction-diffusion equations on genuinely high-dimensional thin domains
Martino Prizzi, Krzysztof P. Rybakowski
In this paper we study a family of semilinear reaction-diffusion equations on thin spatial domains, lying close to a lower dimensional submanifold . As the thickness tends to ze…
A remark on reaction-diffusion equations in unbounded domains
Martino Prizzi
We prove the existence of a compact L^2-H^1 attractor for a reaction-diffusion equation in R^n. This improves a previous result of B. Wang concerning the existence of a compact L^2…
Attractors and global averaging of non-autonomous reaction-diffusion equations in R^n
F. Antoci, M. Prizzi
We consider a family of non-autonomous reaction-diffusion equations with almost periodic, rapidly oscillating principal part and nonlinear interactions. As the frequency of the osc…