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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper we establish three global in time results for two fourth ordernonlinear parabolic equations. The first of such equations involves the Hessianand appears in epitaxial growth. For such equation we give conditions ensuringthe global existence of solution. For certain regime of the parameters, oursize condition involves the norm in a critical space with respect to thescaling of the equation and improves previous existing results in theliterature for this equation. The second of the equations under study is a thinfilm equation with a porous medium nonlinearity. For this equation we establishconditions leading to the global existence of solution.

Global existence for certain fourth order evolution equations