6 papers
Recovery of time-dependent coefficients for the convection-diffusion equation on conformally transversally anisotropic manifolds from partial data
Boya Liu, Anamika Purohit
We study an inverse problem of recovering a time-dependent convection term and density coefficient of the convection-diffusion equation from partial data on a certain type of compa…
An Inverse problem for a fourth order nonlinear Schrödinger equation (NLS)
Rohit Kumar Mishra, Anamika Purohit, Suman Kumar Sahoo
We study an inverse problem for the time-dependent nonlinear fourth-order Schrödinger equation on both compact Euclidean domains and compact Riemannian manifolds, (say) . This…
Inverse boundary value problem for the Convection-Diffusion equation with local data
Pranav Kumar, Anamika Purohit
We study a local data inverse problem for the time-dependent Convection-Diffusion Equation (CDE) in a bounded domain where a part of the boundary is treated to be inaccessible. Up…
Tensor tomography using V-line transforms with vertices restricted to a circle
Rohit Kumar Mishra, Anamika Purohit, Indrani Zamindar
In this article, we study the problem of recovering symmetric -tensor fields (including vector fields) supported in a unit disk from a set of generalized V-line tra…
Inverse problem for a time-dependent Convection-diffusion equation in admissible geometries
Rohit Kumar Mishra, Anamika Purohit, Manmohan Vashisth
We consider a partial data inverse problem for a time-dependent convection-diffusion equation on an admissible manifold. We prove that the time-dependent convection term and time-d…
Determining time-dependent convection and density terms in convection-diffusion equation using partial data
Anamika Purohit
In this article, we study an inverse boundary value problem for the time-dependent convection-diffusion equation. We use the nonlinear Carleman weight to recover the time-dependent…