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A dyadic decomposition approach to a finitely degenerate hyperbolic problem
Massimo Cicognani, Daniele Del Santo, Michael Reissig
We use the Littlewood-Paley decomposition technique to obtain a -well-posedness result for a weakly hyperbolic equation with a finite order of degeneration
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…
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.