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Construction of fundamental solutions of hypoelliptic equations by the use of a probabilistic method

Published online by Cambridge University Press:  22 January 2016

T. Matsuzawa*
Affiliation:
Department of Mathematics, Nagoya University
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A. Friedman, [5] has constructed the fundamental solutions for a class of degenerate parabolic equations of the second order by making use of a probabilistic method and obtained the estimates for the fundamental solutions, especially near the degenerating manifolds (obstacles) of given operators, where a probabilistic method plays an important role.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1978

References

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