Abstract
We present a scheme of construction of a fundamental solution of a parabolic equation on a Riemannian manifold with nonpositive curvature.
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References
K. Yosida, “On the fundamental solution of the parabolic equation in a Riemannian space,”Osaka Math. J.,5, No. 1, 65–74 (1953).
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V. G. Bondarenko, “Covariant derivatives of Jacobi fields on a manifold of nonpositive curvature,”Ukr. Mat. Zh.,50, No. 6, 755–764 (1998).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1443–1448, November, 1999.
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Bondarenko, V.G. Parametrix method for a parabolic equation on a Riemannian manifold. Ukr Math J 51, 1627–1634 (1999). https://doi.org/10.1007/BF02525258
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DOI: https://doi.org/10.1007/BF02525258