Parabolic Lipschitz truncation and Caloric Approximation

Diening L, Schwarzacher S, Stroffolini B, Verde A (2017)
Calculus of Variations and Partial Differential Equations 56(4): 120.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
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.
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Zeitschriftentitel
Calculus of Variations and Partial Differential Equations
Band
56
Zeitschriftennummer
4
Artikelnummer
120
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Diening L, Schwarzacher S, Stroffolini B, Verde A. Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations. 2017;56(4): 120.
Diening, L., Schwarzacher, S., Stroffolini, B., & Verde, A. (2017). Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations, 56(4), 120. doi:10.1007/s00526-017-1209-6
Diening, L., Schwarzacher, S., Stroffolini, B., and Verde, A. (2017). Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations 56:120.
Diening, L., et al., 2017. Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations, 56(4): 120.
L. Diening, et al., “Parabolic Lipschitz truncation and Caloric Approximation”, Calculus of Variations and Partial Differential Equations, vol. 56, 2017, : 120.
Diening, L., Schwarzacher, S., Stroffolini, B., Verde, A.: Parabolic Lipschitz truncation and Caloric Approximation. Calculus of Variations and Partial Differential Equations. 56, : 120 (2017).
Diening, Lars, Schwarzacher, Sebastian, Stroffolini, Bianca, and Verde, Anna. “Parabolic Lipschitz truncation and Caloric Approximation”. Calculus of Variations and Partial Differential Equations 56.4 (2017): 120.

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arXiv: 1606.01706

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