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Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials


Author: G. Barbatis
Journal: Proc. Amer. Math. Soc. 145 (2017), 191-200
MSC (2010): Primary 35K25
DOI: https://doi.org/10.1090/proc/13185
Published electronically: July 6, 2016
MathSciNet review: 3565372
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Abstract: We establish Gaussian estimates on the heat kernel of a higher-order uniformly elliptic Schrödinger operator with variable highest order coefficients and with a Kato class potential. The estimates involve the sharp constant in the Gaussian exponent.


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Additional Information

G. Barbatis
Affiliation: Department of Mathematics, National and Kapodistrian University of Athens, Panepistimiopolis, 15784 Athens, Greece
Email: gbarbatis@math.uoa.gr

DOI: https://doi.org/10.1090/proc/13185
Received by editor(s): December 7, 2015
Received by editor(s) in revised form: March 7, 2016
Published electronically: July 6, 2016
Communicated by: Joachim Krieger
Article copyright: © Copyright 2016 American Mathematical Society