On the parabolic potentials in degenerate-type heat equation

Igor Malyshev

International Journal of Stochastic Analysis, 1991, vol. 4, 1-14

Abstract:

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.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:295375

DOI: 10.1155/S1048953391000114

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