A fairly strong stability result for parabolic quasiminimizers

In this paper we consider parabolic Q‐quasiminimizers related to the p‐Laplace equation in . In particular, we focus on the stability problem with respect to the parameters p and Q. It is known that, if , then parabolic quasiminimizers with fixed initial‐boundary data on converge to the parabolic minimizer strongly in under suitable further structural assumptions. Our concern is whether or not we can obtain even stronger convergence. We will show a fairly strong stability result.