Abstract
Abstract In this paper we investigate the heat kernel of the Schrödinger operator L = - Δ G + W $L=-\Delta _G+W$ on the nilpotent Lie group G, where Δ G is the sub-Laplacian on G and the non-negative potential W belongs to the reverse Hölder class B q 1 . The main aim of the paper is to give a pointwise estimate for the heat kernel of Schrödinger operators with non-negative potentials on the nilpotent Lie group G. As its applications, we obtain the Lp estimates for parabolic Schrödinger operators with certain non-negative potentials.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
