125 citations · 181 across the 22 of their papers we have counts for
31 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…
An Observation About Weak Solutions of Linear Differential Equations in Hilbert Spaces
Vittorino Pata, Justin T. Webster
In this note we propose a definition of weak solution for an abstract Cauchy problem in a Hilbert space, and we discuss existence and uniqueness results.
Abstract damped wave equations: The optimal decay rate
Filippo Dell'Oro, Lorenzo Liverani, Vittorino Pata
The exponential decay rate of the semigroup generated by the abstract damped wave equation is here addressed, where is…
Multi-term fractional linear equations modeling oxygen subdiffusion through capillaries
Vittorino Pata, Sergii Siryk, Nataliya Vasylyeva
For , we analyze a linear integro-differential equation on the space-time cylinder in the unknown $$\mathbf{D}_{t}^{ν_1}(\varrho_{1}u)-\m…
A hierarchy of heat conduction laws
Filippo Dell'Oro, Vittorino Pata
The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approxim…
A note on the energy transfer in coupled differential systems
Monica Conti, Lorenzo Liverani, Vittorino Pata
We study the energy transfer in the linear system made by two coupled differential equations,…