A-caloric approximation and partial regularity for parabolic systems with Orlicz growth

We prove a new A -caloric approximation lemma compatible with an Orlicz setting. With this result, we establish a partial regularity result for parabolic systems of the type u t - div a ( D u ) = 0 . Here the growth of a is bounded by the derivative of an N -function φ . The primary assumption for φ is that t φ ′ ′ ( t ) and φ ′ ( t ) are uniformly comparable on ( 0 , ∞ ) .