On the parabolic potentials in degenerate‐type heat equation

Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems. Presented te...

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Bibliographic Details
Published in:International journal of stochastic analysis 1991-01, Vol.4 (2), p.147-160
Main Author: Malyshev, Igor
Format: Article
Language:English
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Summary:Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems. Presented technique allows to deal with some equation of the degenerate/mixed type.
ISSN:2090-3332
1048-9533
2090-3340
1687-2177
DOI:10.1155/S1048953391000114