64 citations · 219 across the 45 of their papers we have counts for
5 papers · 1 filter
Solutions of abstract wave equations, eigenvalues and resonances
Yuri Latushkin, Alin Pogan
We prove general representation formulas for strongly continuous cosine and sine operator families in terms of scattering resonances of their generators. This generalizes known res…
Some Operator Bounds Employing Complex Interpolation Revisited
Fritz Gesztesy, Yuri Latushkin, Fedor Sukochev +1
We revisit and extend known bounds on operator-valued functions of the type $$ T_1^{-z} S T_2^{-1+z}, \quad z \in \ol Σ= \{z\in\bbC\,|\, \Re(z) \in [0,1]\}, $$ under various hypoth…
Hyperbolicity of semigroups and Fourier multipliers
Yuri Latushkin, Roman Shvidkoy
We present a characterization of hyperbolicity for strongly continuous semigroups on Banach spaces in terms of Fourier multiplier properties of the resolvent of the generator. Hype…
Evolutionary Semigroups and Lyapunov Theorems in Banach Spaces
Yuri D. Latushkin, Stephen J. Montgomery-Smith
We present a spectral mapping theorem for continuous semigroups of operators on any Banach space . The condition for the hyperbolicity of a semigroup on is given in terms of…
Lyapunov theorems for Banach spaces
Yuri Latushkin, Stephen Montgomery-Smith
We present a spectral mapping theorem for semigroups on any Banach space . From this, we obtain a characterization of exponential dichotomy for nonautonomous differential equati…