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Estimates of the heat kernel on a manifold of nonpositive curvature

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Abstract

On a Riemannian manifold of nonpositive curvature, we obtain dimension-independent estimates for the fundamental solution of a parabolic equation and for the logarithmic derivative of this solution.

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References

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 8, pp. 1129–1136, August, 1998.

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Bondarenko, V.G. Estimates of the heat kernel on a manifold of nonpositive curvature. Ukr Math J 50, 1290–1298 (1998). https://doi.org/10.1007/BF02513084

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  • DOI: https://doi.org/10.1007/BF02513084

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