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

Published 27 Nov 2015 in math.AP | (1511.08711v3)

Abstract: We establish Gaussian estimates on the heat kernel of a higher-order uniformly elliptic Schr\"odinger 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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