Yavar Kian

Yavar Kian is a Professor at the University of Rouen Normandy, affiliated with the Raphaël Salem Mathematics Laboratory (LMRS), UMR 6085 CNRS. He is based in the Faculty of Science and Technology at the university's Saint-Étienne-du-Rouvray campus. His research focuses on advanced mathematical problems related to partial differential equations and their applications.

His primary research interests include inverse problems for nonlinear partial differential equations (elliptic, hyperbolic, parabolic), fractional diffusion equations, spectral inverse problems, inverse problems on Riemannian manifolds, and the Calderón problem. His work specifically addresses coefficient determination, source identification, and stability analysis for various evolution equations. Key methodological approaches in his research involve Carleman estimates, Strichartz estimates, and boundary control methods.

Analysis of his recent publications (2022-2023) reveals a strong focus on fractional diffusion equations, nonlinear inverse problems, and time-dependent coefficient determination. His work demonstrates increasing sophistication in handling non-smooth coefficients, distributed order fractional derivatives, and partial boundary data. The research spans theoretical developments in stability analysis and practical applications in imaging and tomography.

Kian maintains extensive international collaborations with mathematicians across Europe, Asia, and North America, particularly working with researchers from institutions in France, Japan, Finland, and the United States. His work appears in top-tier mathematics journals including SIAM Journal on Mathematical Analysis, Archive for Rational Mechanics and Analysis, and Communications in Contemporary Mathematics.