On the parabolic potentials in degenerate‐type heat equation

Igor Malyshev · International Journal of Stochastic Analysis · 1991

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.

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