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2009 ON THE C0-SEMIGROUPS GENERATED BY SECOND ORDER DIFFERENTIAL OPERATORS ON THE REAL LINE
Francesco Altomar, Sabina Milella
Taiwanese J. Math. 13(1): 25-46 (2009). DOI: 10.11650/twjm/1500405271

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

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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

Information

Published: 2009
First available in Project Euclid: 18 July 2017

MathSciNet: MR2489306
Digital Object Identifier: 10.11650/twjm/1500405271

Subjects:
Primary: 35A35 , 35K15 , 41A36 , 47D06

Keywords: approximation by positive operators , ‎integral operator , parabolic equation , Positive semigroup , weighted continuous function space

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 1 • 2009
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