, Volume 11, Issue 1, pp 15–39

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



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

Mathematics Subject Classifications

47A25 47D03 47B65 41A60 


Gaussian estimate Lp -spectrum positive semigroup integral kernel resolvent 


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Copyright information

© Birkhäuser Verlag, Basel 2006

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceTokyo University of ScienceTokyoJapan

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