3 papers
math.AP2004
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.
math.AP2004
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…
math.AP2004
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…