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

In this paper, we present a new Carleman estimate for the adjoint equationsassociated to a class of super strong degenerate parabolic linear problems. Ourapproach considers a standard geometric imposition on the control domain, whichcan not be removed in the general situations. Additionally, we also apply theaformentioned main inequality in order to investigate the null controllabilityof two nonlinear parabolic systems. The first application is concerned a globalnull controllability result obtained for some semilinear equations, relying ona fixed point argument. In the second one, a local null controllability forsome equations with nonlocal terms is also achieved, by using an inversefunction theorem.

Carleman inequality for a class of super strong degenerate parabolic operators and applications