多维拟线性退化抛物方程Cauchy问题解的惟一性

Uniqueness and Stability of Solution for Cauchy Problem of Degenerate Quasilinear Parabolic Equations

对多维拟线性退化抛物方程Cauchy问题的BV解证明了解的稳定性和惟一性.

In this paper we study the Cauchy problem for degenerate paprabolic equation of the form ut=△A(u)+∑Ni=1bi(u)xi,u(x,0)=u0(x).where A(u)=∫u0a(s)dsa(s)≥0.The uniqueness and existence of BVsolutions are proved.