一类拟线性退化抛物方程的Cauchy问题

On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation

对方程α_(xx)u+uα_yu-α_tu=f(·,u),(x,y,t)∈R^2×(0,T)的Cauchy问题,给出了一个整体BV-弱解的定义,证明了该弱解的连续性.

The Cauchy Problem of the equation α（xx）u＋uαyu-αtu=f（·,u）,（x,y,t）∈R^2×（0,T]is considered.We give the definition of the golbal BV-solution and prove the solution is continuous.