On the uniqueness and stability of BV solutions for nonlinear diffusion equations. (English) Zbl 0726.35063

Uniqueness and stability results for BV solutions of the Cauchy problem for a nonlinear diffusion equation of the form \[ u_ t=\Delta A(u)+\nabla B(u),\quad u(0,x)=u_ 0(x) \] are proved under the general assumption that A(s) is strictly increasing.
Reviewer: S.Tersian (Russe)


35K57 Reaction-diffusion equations
35B35 Stability in context of PDEs