English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We consider parabolic systems in divergence form with piecewise$C^{(s+\delta)/2,s+\delta}$ coefficients and data in a bounded domainconsisting of a finite number of cylindrical subdomains with interfacialboundaries in $C^{s+1+\mu}$, where $s\in\mathbb N$, $\delta\in (1/2,1)$, and$\mu\in (0,1]$. We establish piecewise $C^{(s+1+\mu')/2,s+1+\mu'}$ estimatesfor weak solutions to such parabolic systems, where$\mu'=\min\big\{1/2,\mu\big\}$, and the estimates are independent of thedistance between the interfaces. In the elliptic setting, our results answer anopen problem (c) in Li and Vogelius (Arch. Rational Mech. Anal. 153 (2000),91--151).

Higher regularity for solutions to equations arising from composite materials