59 citations · 416 across the 90 of their papers we have counts for
10 papers · 1 filter
Logarithmic stable recovery of the source and the initial state of time fractional diffusion equations
Yavar Kian, Eric Soccorsi, Faouzi Triki
In this paper we study the inverse problem of identifying a source or an initial state in a time-fractional diffusion equation from the knowledge of a single boundary measurement.…
An inverse problem for a quasilinear convection--diffusion equation
Ali Feizmohammadi, Yavar Kian, Gunther Uhlmann
We study the inverse problem of recovering a semilinear diffusion term as well as a quasilinear convection term in a nonlinear parabolic equation $$\…
Equivalence of definitions of solutions for some class of fractional diffusion equations
Yavar Kian
We study the unique existence of weak solutions for initial boundary value problems associated with different class of fractional diffusion equations including variable order, dist…
Determination of source and initial values for acoustic equations with a time-fractional attenuation
Xinchi Huang, Yavar Kian, Eric Soccorsi +1
We consider the inverse problem of determining the initial states or the source term of a hyperbolic equation damped by some non-local time-fractional derivative. This framework is…
Recovering Multiple Fractional Orders in Time-Fractional Diffusion in an Unknown Medium
Bangti Jin, Yavar Kian
In this work, we investigate an inverse problem of recovering multiple orders in a time-fractional diffusion model from the data observed at one single point on the boundary. We pr…
Uniqueness of Inverse Source Problems for General Evolution Equations
Yavar Kian, Yikan Liu, Masahiro Yamamoto
In this article, we investigate inverse source problems for a wide range of PDEs of parabolic and hyperbolic types as well as time-fractional evolution equations by partial interio…
Stable recovery of non-compactly supported electromagnetic potentials in unbounded domain
Yavar Kian, Yosra Soussi
We consider the inverse problem of determining an electromagnetic potential appearing in an infinite cylindrical domain from boundary measurements. More precisely, we prove the sta…
The Calderón inverse problem for isotropic quasilinear conductivities
Cătălin I. Cârstea, Ali Feizmohammadi, Yavar Kian +2
We prove a global uniqueness result for the Calderón inverse problem for a general quasilinear isotropic conductivity equation on a bounded open set with smooth boundary in dimensi…
Reconstruction of a Space-Time Dependent Source in Subdiffusion Models via a Perturbation Approach
Bangti Jin, Yavar Kian, Zhi Zhou
In this article we study inverse problems of recovering a space-time dependent source component from the lateral boundary observation in a subidffusion model. The mathematical mode…
Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium
Bangti Jin, Yavar Kian
In this work, we investigate the recovery of a parameter in a diffusion process given by the order of derivation in time for a class of diffusion type equations, including both cla…