MR2493877 Francesco ALTOMARE and Graziana MUSCEO Francesco ALTOMARE and Graziana MUSCEO Positive Semigroups Generated by Degenerate Second-Order Differential Operators Funkcialaj Ekvacioj. Serio Internacia 51 2008 431--458 http://fe.math.kobe-u.ac.jp/FE/FullPapers/51-3/51_431.pdf http://www.ams.org/mathscinet-getitem?mr=MR2493877 In this paper we deal with degenerate second-order differential operators in the framework of weighted continuous function spaces on a real interval. We show that, under particular boundary conditions, such operators generate positive strongly continuous semigroups which are the transition semigroups associated with suitable Markov processes. Finally an application to the Black-Scholes equation is also discussed. Degenerate second-order differential operator, Degenerate evolution equation, Wentzel boundary condition, Maximal boundary condition, Positive semigroup, Transition semigroup, Weighted continuous function space, Black-Scholes equation. 47D07, 35K15. 51-431 2008 Positive Semigroups Generated by Degenerate Second-Order Differential Operators Francesco ALTOMARE and Graziana MUSCEO Francesco ALTOMARE and Graziana MUSCEO
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