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Perturbed Parabolic Equation on a Riemannian Manifold

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Ukrainian Mathematical Journal Aims and scope

Abstract

We construct a fundamental solution of an equation with perturbed diffusion operator on a manifold of nonnegative curvature.

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REFERENCES

  1. V. G. Bondarenko, “Estimates for the heat kernel on a manifold of nonpositive curvature,” Ukr. Mat. Zh., 50, No. 8, 1129–1135 (1998).

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  2. V. G. Bondarenko, “Method of parametrix for a parabolic equation on a Riemannian manifold,” Ukr. Mat. Zh., 51, No. 11, 1443–1448 (1999).

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  3. 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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Authors and Affiliations

  1. Kiev Polytechnic Institute, Kiev

    V. G. Bondarenko

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  1. V. G. Bondarenko
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Bondarenko, V.G. Perturbed Parabolic Equation on a Riemannian Manifold. Ukrainian Mathematical Journal 55, 1181–1188 (2003). https://doi.org/10.1023/B:UKMA.0000010614.15862.a5

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010614.15862.a5

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