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

End-point maximal $L^1$-regularity for parabolic initial-boundary valueproblems is considered. For the inhomogeneous Dirichlet and Neumann data,maximal $L^1$-regularity for initial-boundary value problems is established intime end-point case upon the homogeneous Besov space $\dot B_{p,1}^s({\mathbbR}^n_+)$ with $1< p< \infty$ and $-1+1/p<s\le 0$ as well as optimal traceestimates. The main estimates obtained here are sharp in the sense of traceestimates and it is not available by known theory on the class of UMD Banachspaces. We utilize a method of harmonic analysis, in particular, the almostorthogonal properties between the boundary potentials of the Dirichlet and theNeumann boundary data and the Littlewood-Paley dyadic decomposition of unity inthe Besov and the Lizorkin-Triebel spaces.

Maximal $L^1$-regularity for parabolic initial-boundary value problems with inhomogeneous data