32 citations · 33 across the 6 of their papers we have counts for
10 papers
Unified growth rates for operator semigroups under generalized Kreiss conditions
Filippo Dell'Oro, Alberto Farina, Vittorino Pata
In this note we establish a unified growth rate for the operator norm of -semigroups on Hilbert spaces whose generators satisfy the generalized Kreiss resolvent condition. Our…
A remark on the growth rate of operator semigroups under resolvent bounds
Filippo Dell'Oro
We provide a growth bound for the operator norm of -semigroups on Hilbert spaces under a corresponding growth bound on the resolvent of the semigroup generator. For some super…
Exponential stability of Timoshenko-Gurtin-Pipkin systems with full thermal coupling
Filippo Dell'Oro, Marcio A. Jorge Silva, Sandro B. Pinheiro
We analyze the stability properties of a linear thermoelastic Timoshenko-Gurtin-Pipkin system with thermal coupling acting on both the shear force and the bending moment. Under eit…
On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction
Filippo Dell'Oro
We investigate the stability of three thermoelastic beam systems with hyperbolic heat conduction. First, we study the Bresse-Gurtin-Pipkin system, providing a necessary and suffici…
On the MGT equation with memory of type II
Filippo Dell'Oro, Irena Lasiecka, Vittorino Pata
We consider the Moore-Gibson-Thompson equation with memory of type II $$ \partial_{ttt} u(t) + α\partial_{tt} u(t) + βA \partial_t u(t) + γAu(t)-\int_0^t g(t-s) A \partial_t u(s){\…
Second order linear evolution equations with general dissipation
Filippo Dell'Oro, Vittorino Pata
The contraction semigroup generated by the abstract linear dissipative evolution equation is analyzed, where is…