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

Barbatis, G.

doi:10.1090/proc/13185

Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials
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Proc. Amer. Math. Soc. 145 (2017), 191-200 Request permission

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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