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Regularizing Properties for Transition Semigroups and Semilinear Parabolic Equations in Banach Spaces

   
@article{EJP401,
	author = {Federica Masiero},
	title = {Regularizing Properties for Transition Semigroups and Semilinear Parabolic Equations in Banach Spaces},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {12},
	year = {2007},
	keywords = {Ornstein-Uhlenbeck and perturbed Ornstein-Uhlenbeck transition semigroups; regularizing properties; parabolic equations; Banach spaces.},
	abstract = {We study regularizing properties for transition semigroups related to Ornstein Uhlenbeck processes with values in a Banach space $E$ which is continuously and densely embedded in a real and separable Hilbert space $H$. Namely we study conditions under which the transition semigroup maps continuous and bounded functions into differentiable functions. Via a Girsanov type theorem such properties extend to perturbed Ornstein Uhlenbeck processes. We apply the results to solve in mild sense semilinear versions of Kolmogorov equations in $E$.},
	pages = {no. 13, 387-419},
	issn = {1083-6489},
	doi = {10.1214/EJP.v12-401},    
        url = {http://ejp.ejpecp.org/article/view/401}}