Markov semigroups and groups of operators | Zendy

Jerome A. Goldstein | Zendy; Rosa Maria Mininni | Zendy; Silvia Romanelli | Zendy

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Markov semigroups and groups of operators

Author(s) -

Jerome A. Goldstein,

Rosa Maria Mininni,

Silvia Romanelli

Publication year - 2007

Publication title -

communications on stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.224

H-Index - 10

eISSN - 2688-6669

pISSN - 0973-9599

DOI - 10.31390/cosa.1.2.05

Subject(s) - semigroup , mathematics , representation (politics) , pure mathematics , group (periodic table) , markov chain , discrete mathematics , markov process , algebra over a field , physics , statistics , quantum mechanics , politics , political science , law

We consider dieren t realizations of the operators L ;a u(x) := x 2a u 00 (x) + (ax 2a 1 + x a )u 0 (x), 2 R, a 2 R, acting on suitable spaces of real valued continuous functions. The main results deal with the existence of Feller semigroups generated by L ;a and the representation L ;a = G 2 + Ga, where Gau = x a u 0 , 0 a 1, generates a (not necessarily strongly continuous) group. Explicit formulas of the generated semigroups are also deduced.

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