Positivity

, Volume 11, Issue 1, pp 15–39

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

Authors

    • Department of Mathematics, Faculty of ScienceTokyo University of Science
  • Hisakazu Shindoh
    • Department of Mathematics, Faculty of ScienceTokyo University of Science
Article

DOI: 10.1007/s11117-006-0046-1

Cite this article as:
Miyajima, S. & Shindoh, H. Positivity (2007) 11: 15. doi:10.1007/s11117-006-0046-1
  • 51 Views

Abstract

We prove Lp-spectral independence for generators of C0-semigroups estimated by the positive C0-semigroup https://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 C0-semigroup https://static-content.springer.com/image/art%3A10.1007%2Fs11117-006-0046-1/MediaObjects/s11117-006-0046-1flb2.gif.

Mathematics Subject Classifications

47A2547D0347B6541A60

Keywords

Gaussian estimateLp -spectrumpositive semigroupintegral kernelresolvent
Download to read the full article text

Copyright information

© Birkhäuser Verlag, Basel 2006