
This paper is a continuation of the previous work ``Boundary value problems and Markov processes'', Springer Lect. Notes Math. 1499 (1991; Zbl 0766.60097) where we studied a class of degenerate boundary value problems for second-order elliptic differential operators and proved that this class of boundary value problems generates analytic semigroups both in the \(L^p\) topology and in the topology of uniform convergence. The purpose of this paper is to extend these results to the elliptic integro-differential operator case.
510.mathematics, One-parameter semigroups and linear evolution equations, elliptic integro-differential operator, analytic semigroups, \(L^ p\) topology, Integro-differential operators, topology of uniform convergence, Article
510.mathematics, One-parameter semigroups and linear evolution equations, elliptic integro-differential operator, analytic semigroups, \(L^ p\) topology, Integro-differential operators, topology of uniform convergence, Article
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