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Construction of a Fundamental Solution of a Perturbed Parabolic Equation

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Ukrainian Mathematical Journal Aims and scope

Abstract

We propose a method for the construction of a solution of a parabolic equation in the case where the diffusion operator is perturbed.

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REFERENCES

  1. V. G. Bondarenko, “Estimates of the heat kernel on a manifold of nonpositive curvature,” Ukr. Mat. Zh., 50, No. 8, 1129-1136 (1998).

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  2. V. G. Bondarenko, “Parametrix method for a parabolic equation on a Riemannian manifold,” Ukr. Mat. Zh., 51, No. 11, 1443-1448 (1999).

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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. Construction of a Fundamental Solution of a Perturbed Parabolic Equation. Ukrainian Mathematical Journal 55, 1223–1237 (2003). https://doi.org/10.1023/B:UKMA.0000010755.24149.2b

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010755.24149.2b

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