The Properties of a Degenerate Parabolic Equation with Periodic Source Term
Guan Weigu · Journal of Jimei University · 2015
In this paper,the geometric and propagating properties of solution of the Cauchy problem for a degenerate parabolic equation ut= Δum+ θupsint with periodic source term were discussed. The objective is to show that: 1) the disturbance propagation of solution is limited; 2) with continuous variation of time t,the surface Φ = [u( x,t) ]mδ / qis a complete Riemannian manifold floating in space RN + 1and is going to be tangent to the space RNat the boundary of the set of Hu( t).