Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-27T21:12:44.894Z Has data issue: false hasContentIssue false
  • English
  • Français

HEAT KERNEL ESTIMATES AND LP SPECTRAL INDEPENDENCE OF ELLIPTIC OPERATORS

Published online by Cambridge University Press:  01 May 1999

PEER CHRISTIAN KUNSTMANN
PEER CHRISTIAN KUNSTMANN
Affiliation:
Mathematisches Institut I, Universität Karlsruhe, Englerstr. 2, D–76128 Karlsruhe, Germany
Get access

Abstract

Let Ω be an open subset of IRd, and let Tp for p∈[1, ∞) be consistent C0-semigroups given by kernels that satisfy an upper heat kernel estimate. Denoting their generators by Ap, we show that the spectrum σ(Ap) is independent of p∈[1, ∞). We also treat the case of weighted Lp-spaces for weights that satisfy a subexponential growth condition. An example shows that independence of the spectrum may fail for an exponential weight.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 3 , May 1999 , pp. 345 - 353
Copyright
© The London Mathematical Society 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)