Diffusion semigroups in spaces of continous functions with mixed topology
Goldys, B; Kocan, M
We study transition semigroups and Kolmogorov equations corresponding to stochastic semilinear equations on a Hilbert space H. It is shown that the transition semigroup is strongly continuous and locally equicontinuous in the space of polynomially increasing continuous functions on H when endowed with the so-called mixed topology. As a result we characterize cores of certain second order differential operators in such spaces and show that they have unique extensions to generators of strongly...[Show more]
|01_Goldys_Diffusion_semigroups_in_spaces_2001.pdf||162.92 kB||Adobe PDF|| Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.