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

Gerassimos Barbatis

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arXiv · 1511.08711

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

Gerassimos Barbatis

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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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Gerassimos Barbatis. 2016-03-23. Gaussian estimates with best constants for higher-order Schrödinger operators with Kato potentials. https://arxiv.org/abs/1511.08711

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