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 prove that the set of solutions to the parabolic singular $p$-Laplaceequation with Dirichlet boundary conditions on a bounded Lipschitz domain$\Omega$ for all space dimensions is continuous in the parameter $p\in[1,+\infty)$ and the initial data. The highly singular limit case p=1 isincluded. In particular, we show that the solutions $u_p$ converge strongly in$L^2(\Omega)$, uniformly in time, to the solution $u_1$ of the parabolic1-Laplace equation as $p\to 1$.

Convergence of solutions to the $p$-Laplace evolution equation as $p$ goes to 1