Ultraboundedness for parabolic equations in convex domains without boundary conditions |
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| Authors: | Giuseppe Da Prato |
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| Institution: | a Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
b Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43100 Parma, Italy |
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| Abstract: | We consider the operator  , where U is a convex real function defined in a convex open set O⊂RN and lim|x|→∞U(x)=limx→∂OU(x)=+∞. We prove that the associated Markov semigroup is ultrabounded with respect to the Gibbs measure  . |
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| Keywords: | Markov semigroups Ultraboundedness |
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