Transport operator on phase spaces with finite time of sojourn property.
Triangular Models and Asymptotics of Continuous Curves with Bounded and Unbounded Semigroup Generators
2000 Mathematics Subject Classification: Primary 47A48, Secondary 60G12.In this paper classes of K^r -operators are considered – the classes of bounded and unbounded operators A with equal domains of A and A*, finite dimensional imaginary parts and presented as a coupling of a dissipative operator and an antidissipative one with real absolutely continuous spectra and the class of unbounded dissipative K^r -operators A with different domains of A and A* and with real absolutely continuous spectra....
Two notes on eventually differentiable families of operators
In the first note we show for a strongly continuous family of operators that if every orbit is differentiable for , then all orbits are differentiable for with independent of . In the second note we give an example of an eventually differentiable semigroup which is not differentiable on the same interval in the operator norm topology.
Two-dimensional Navier-Stokes flow in unbounded domains.
Two-parameter semigroups, evolutions and their applications to Markov and diffusion fields on the plane.