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

We address the stability issue in Calder\'on's problem for a special class ofanisotropic conductivities of the form $\sigma=\gamma A$ in a Lipschitz domain$\Omega\subset\mathbb{R}^n$, $n\geq 3$, where $A$ is a known Lipschitzcontinuous matrix-valued function and $\gamma$ is the unknown piecewise affinescalar function on a given partition of $\Omega$. We define an ad-hoc misfitfunctional encoding our data and establish stability estimates for this classof anisotropic conductivity in terms of both the misfit functional and the morecommonly used local Dirichlet-to-Neumann map.

Stability for the Calder\'on's problem for a class of anisotropic conductivities via an ad-hoc misfit functional