Non-Autonomous Maximal Regularity for Forms Given by Elliptic Operators of Bounded Variation

Stephan Fackler

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arXiv · 1609.08823

Non-Autonomous Maximal Regularity for Forms Given by Elliptic Operators of Bounded Variation

Stephan Fackler

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Abstract

We show maximal $L^p$-regularity for non-autonomous Cauchy problems provided the trace spaces are stable in some parameterized sense and the time dependence is of bounded variation. In particular, on $L^2$, we obtain for all $p \in (1,2]$ maximal $L^p$-regularity for non-autonomous elliptic operators with measurable coefficients.

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BibTeX RIS

Stephan Fackler. 2016-09-28. Non-Autonomous Maximal Regularity for Forms Given by Elliptic Operators of Bounded Variation. https://arxiv.org/abs/1609.08823

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