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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

(0.1) ut = divA(Du) + f(u,Du) for a vector function A with ∂A(p)/∂p a positive definite matrix. Our model case will be A(p) = |p|m−2p, which corresponds to the so-called p-Laplacian (although we are using m in place of p). Under various hypotheses connecting A and f , we shall show that global solutions of (0.1) with zero boundary values in a cylinder Ω× (0,∞) with smooth cross-section Ω are actually bounded in L∞. For this boundedness, we will assume that f depends only on u, but our major focus is really on an intermediate result, which we formulate here for a special case.

Study of global solutions of parabolic equations via a priori estimates III. Equations of p-Laplacian type