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

We consider inverse boundary value problems for elliptic equations of second order of determining coefficients by Dirichlet-to-Neumann map on subboundaries, that is, the mapping from Dirichlet data supported on subboundary \({\partial \Omega \setminus \Gamma_{-}}\) to Neumann data on subboundary \({\partial \Omega \setminus \Gamma_{+}}\). First we prove uniqueness results in three dimensions under some conditions such as \({\overline{\Gamma_{+}\cup\Gamma_{-}}= \partial\Omega}\) Next we survey uniqueness results in two dimensions for various elliptic systems for arbitrarily given \({\Gamma_{-} = \Gamma_{+}}\) Our proof is based on complex geometric optics solutions which are constructed by a Carleman estimate.

Uniqueness for Inverse Boundary Value Problems by Dirichlet-to-Neumann Map on Subboundaries