We develop an improved version of the parabolic Lipschitz truncation, which allows qualitative control of the distributional time derivative and the preservation of zero boundary values. As a consequence, we establish a new caloric approximation lemma. We show functions. The distance is measured in terms of spatial gradients as well as almost uniformly in time. Both results are extended to the setting of Orlicz growth.
Parabolic Lipschitz truncation and Caloric Approximation / Diening, L.; Schwarzacher, S.; Stroffolini, Bianca; Verde, Anna. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 56:4(2017). [10.1007/s00526-017-1209-6]
Parabolic Lipschitz truncation and Caloric Approximation
STROFFOLINI, BIANCA;VERDE, ANNA
2017
Abstract
We develop an improved version of the parabolic Lipschitz truncation, which allows qualitative control of the distributional time derivative and the preservation of zero boundary values. As a consequence, we establish a new caloric approximation lemma. We show functions. The distance is measured in terms of spatial gradients as well as almost uniformly in time. Both results are extended to the setting of Orlicz growth.| File | Dimensione | Formato | |
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