This paper deals with the Cauchy problem for a doubly singular parabolic equation with a weighted source■where N ≥ 1, 1 < p < 2, m > max{0, 3- p-p/N} satisfyi
We consider a kind of scattering problem by a crack Γ that is buried in a bounded domain D,and we put a point source inside the domain D.This leads to a mixed