一类拟线性退缩抛物方程的柯西问题

Cauthy Problem for Quasilinear Degenerate Parabolic Equations

本文讨论了一类拟线性退缩抛物线方程的初值问题，给出了该问题存在非负连续具有界变差解的充分条件，同时也证明了这种连续且具有界变差解是唯一的。

The sufficient condition that nonnegative continuous solutions exist in BV is given and the uniqueness of the solutions is proved that do not require any relation between a(u) and b(u).