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 ut-diva(Du)=0.Here the growth of a is bounded by the derivative of an N-function φ. The primary assumption for φ is that tφ′ ′(t) and φ′(t) are uniformly comparable on (0 , ∞).
A -caloric approximation and partial regularity for parabolic systems with Orlicz growth / Foss, M.; Isernia, T.; Leone, C.; Verde, A.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 62:2(2023). [10.1007/s00526-022-02324-2]
A -caloric approximation and partial regularity for parabolic systems with Orlicz growth
Isernia T.;
2023-01-01
Abstract
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 ut-diva(Du)=0.Here the growth of a is bounded by the derivative of an N-function φ. The primary assumption for φ is that tφ′ ′(t) and φ′(t) are uniformly comparable on (0 , ∞).File in questo prodotto:
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