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One-Dimensional Degenerate Diffusion Operators

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Abstract

The aim of this paper is to present some results about generation, sectoriality and gradient estimates both for the semigroup and for the resolvent of suitable realizations of the operators

$$A^{\gamma, b}u(x) = {\gamma}xu^{\prime\prime} (x) + bu^{\prime} (x),$$

with constants γ > 0 and b ≥ 0, in the space C([0, ∞]).

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, I-73100, Lecce, Italy

    Angela A. Albanese & Elisabetta M. Mangino

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  1. Angela A. Albanese
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  2. Elisabetta M. Mangino
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Correspondence to Elisabetta M. Mangino.

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Albanese, A.A., Mangino, E.M. One-Dimensional Degenerate Diffusion Operators. Mediterr. J. Math. 10, 707–729 (2013). https://doi.org/10.1007/s00009-013-0279-8

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  • DOI: https://doi.org/10.1007/s00009-013-0279-8

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