Journal of Applied Mathematics and Stochastic Analysis
Volume 4 (1991), Issue 2, Pages 147-160
doi:10.1155/S1048953391000114
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.