Uniqueness/nonuniqueness for nonnegative solutions of second-order parabolic equations of the form ut=Lu+Vu−γup in Rn

In this paper we investigate uniqueness and nonuniqueness for solutions of the equation ut=Lu+Vu−γup in Rn×(0,∞),u(x,0)=f(x), x Rn,u 0,where γ>0, p>1, γ,V Cα(Rn), 0 f C(Rn) and with ai,j,bi Cα(Rn).