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We discuss a Lipschitz truncation technique for parabolic double-phaseproblems of $p$-Laplace type in order to prove energy estimates and uniquenessresults for the Dirichlet problem. Moreover, we show existence for anon-homogeneous double-phase problem. The Lipschitz truncation method is basedon a Whitney-type covering result and a related partition of unity in theintrinsic geometry for the double-phase problem.

Lipschitz truncation method for parabolic double-phase systems and applications