Müller–Zhang truncation for general linear constraints with first or second order potential

Abstract Let $$\mathcal {B}$$ B be a homogeneous differential operator of order $$l=1$$ l = 1 or $$l=2$$ 2 . We show that sequence functions the form $$(\mathcal {B}u_j)_j$$ ( u j ) converging in $$L^1$$ L -sense to compact, convex set K can modified into uniformly this provided derivatives l are bounded. prove versions our result on whole space, an open domain, and for varying continuously open, bounded domain. This is conditional generalization theorem proved by S. Müller sequences gradients. Moreover, potential two linearized isentropic Euler system constructed.