Yavar Kian

Stable Determination of Time-Dependent Scalar Potential from Boundary Measurements in a Periodic Quantum Waveguide

We prove logarithmic stability in the determination of the time-dependent scalar potential in a

A stability result for a time-dependent potential in a cylindrical domain

1

Recovery of time-dependent damping coefficients and potentials appearing in wave equations from partial data

-periodic quantum cylindrical waveguide, from the boundary measurements of the solution to the dynamic Schrodinger equation.

On the Calderón problem in periodic cylindrical domain with partial Dirichlet and Neumann data

We consider the operator H := ∂t − Δ + V in a 2D or 3D cylindrical domain with mixed Dirichlet and Neumann conditions. With an adapted global Carleman estimate with singular weight functions, we give a stability result for the time-dependent part of the potential for this particular geometry.

Determining the Scalar Potential in a Periodic Quantum Waveguide from the DN Map

We consider the inverse problem of determining a time-dependent damping coefficient

Global Strichartz estimates for the wave equation with a time-periodic non-trapping metric

a

Inverse source problems in elastodynamics

and a time-dependent potential

On Time-Fractional Diffusion Equations with Space-Dependent Variable Order

q

Heat trace asymptotics and boundedness in the second order Sobolev space of isospectral potentials for the Dirichlet Laplacian

, appearing in the wave equation

Stability in the determination of a time-dependent coefficient for wave equations from partial data

\partial_t^2u-\Delta_x u+a(t,x)\partial_tu+q(t,x)u=0