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 the inverse problem of determining a general semilinear termappearing in nonlinear parabolic equations. For this purpose, we derive a newcriterion that allows to prove global recovery of some general class ofsemilinear terms from lateral boundary measurements of solutions of theequation with initial condition fixed at zero. More precisely, we prove, forwhat seems to be the first time, the unique and stable recovery of generalsemilinear terms depending on time and space variables independently of thesolution of the nonlinear equation from the knowledge of the parabolicDirichlet-to-Neumann map associated with the solution of the equation withinitial condition fixed at zero. Our approach is based on the secondlinearization of the inverse problem under consideration.

Recovery of nonlinear terms for reaction diffusion equations from boundary measurements