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Gaussian Estimates of Order α and Lp-Spectral Independence of Generators of C0-Semigroups

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Abstract

We prove Lp-spectral independence for generators of C0-semigroups estimated by the positive C0-semigroup . In the preliminary process of the proof, we obtain the asymptotic expansion formula for the integral kernel of the C0-semigroup .

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Tokyo University of Science, 26 Wakamiya-cho, Shinjuku-ku, Tokyo, 162-0827, Japan

    Shizuo Miyajima & Hisakazu Shindoh

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  1. Shizuo Miyajima
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  2. Hisakazu Shindoh
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Correspondence to Shizuo Miyajima.

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Miyajima, S., Shindoh, H. Gaussian Estimates of Order α and Lp-Spectral Independence of Generators of C0-Semigroups. Positivity 11, 15–39 (2007). https://doi.org/10.1007/s11117-006-0046-1

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  • DOI: https://doi.org/10.1007/s11117-006-0046-1

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