On the parabolic potentials in degenerate-type heat equation. (1991)

• Record Type: Journal Article
• Authors: Malyshev, Igor
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 2(1991)
• Page Start: 147
• Page End: 160
• Publication Date: 1991
• Subjects: parabolic potentials -- variable coefficient -- boundary value problems -- equations of degenerate/mixed type; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000114
• Languages: English
• ISSNs: 1048-9533

Abstract

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.