Article

Positivity

, Volume 11, Issue 1, pp 15-39

Gaussian Estimates of Order α and L p -Spectral Independence of Generators of C 0-Semigroups

  • Shizuo MiyajimaAffiliated withDepartment of Mathematics, Faculty of Science, Tokyo University of Science Email author 
  • , Hisakazu ShindohAffiliated withDepartment of Mathematics, Faculty of Science, Tokyo University of Science

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Abstract

We prove L p -spectral independence for generators of C 0-semigroups estimated by the positive C 0-semigroup http://static-content.springer.com/image/art%3A10.1007%2Fs11117-006-0046-1/MediaObjects/s11117-006-0046-1flb1.gif . In the preliminary process of the proof, we obtain the asymptotic expansion formula for the integral kernel of the C 0-semigroup http://static-content.springer.com/image/art%3A10.1007%2Fs11117-006-0046-1/MediaObjects/s11117-006-0046-1flb2.gif .

Mathematics Subject Classifications

47A25 47D03 47B65 41A60

Keywords

Gaussian estimate L p -spectrum positive semigroup integral kernel resolvent