3 papers
math.AP2024
Reaction-diffusion systems in annular domains: source stability estimates with boundary observations
Catalin-George Lefter, Elena-Alexandra Melnig
We consider systems of reaction-diffusion equations coupled in zero order terms, with general homogeneous boundary conditions in domains with a particular geometry (annular type do…
math.AP2023
-Carleman estimates with boundary observations and applications to inverse problems
Elena-Alexandra Melnig
We consider coupled linear parabolic systems and we establish estimates in -norm for the sources in terms of observations on the corresponding solutions on a part of the bound…
math.AP2021
Internal controllability of parabolic systems with star and tree like couplings
Catalin-George Lefter, Elena-Alexandra Melnig
We consider systems of parabolic equations coupled in zero order terms in a star-like or a tree-like shape, with an internal control acting in only one of the equations. We obtain…