Gaussian estimates with best constants for higher-order Schr\"odinger operators with Kato potentials
classification
🧮 math.AP
keywords
estimatesgaussianhigher-orderkatoodingerschrbestclass
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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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