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/

Zendy Plus

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

Zendy Tools

Zendy Open

We consider a linear perturbation in the velocity field of the transportequation. We investigate solutions in the space of bounded Radon measures andshow that they are differentiable with respect to the perturbation parameter ina proper Banach space, which is predual to the H\"older space$\mathcal{C}^{1+\alpha}(\mathbb{R}^d)$. This result on differentiability isnecessary for application in optimal control theory, which we also discuss.

Differentiability in perturbation parameter of measure solutions to perturbed transport equation