Abstract
In this paper we deal with special classes of second order elliptic differential operators on the real line. We show that these operators are generators of positive $C_{0}$-semigroups on weighted spaces of continuous functions and we represent them as limits of iterates of integral-type operators. By means of such representation, some qualitative properties of the semigroups are stated.
Citation
Francesco Altomar. Sabina Milella. "ON THE C0-SEMIGROUPS GENERATED BY SECOND ORDER DIFFERENTIAL OPERATORS ON THE REAL LINE." Taiwanese J. Math. 13 (1) 25 - 46, 2009. https://doi.org/10.11650/twjm/1500405271
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