Avtandil Gagnidze

Heat Distribution in a Medium with Concentrated Perturbation of Density

In the paper a parabolic equation with a small parameter is considered, the vanishing of the patameter implying the concentration of perturbations of the coefficients in a small neighbourhood. Full asymptotic expansions with respect to rational powers of the small parameter are constructed.

Mathematics Subject Classification: 35K05.

Key words and phrases: Small parameter, asymptotic expansion.