Inverse problems in differential equations constitute a pivotal area in applied mathematics and engineering, where the aim is to deduce unknown parameters or inputs within a differential equation from ...

Inverse problems in the context of elliptic equations and boundary value problems represent a critical area of mathematical analysis with wide-ranging applications in imaging, geophysics, and medical ...

SIAM Journal on Applied Mathematics, Vol. 39, No. 2 (Oct., 1980), pp. 272-289 (18 pages) In this paper we consider the determination of an unknown diffusion coefficient in a nonlinear diffusion ...

In this paper the Generalized Pulse-Spectrum Technique (GPST) is extended to solve an inverse problem for the Burgers equation. We prove that the GPST is equivalent in some sense to the ...

You may never have heard of an “inverse problem”, but as Roy Pike of King’s College London explains in this video, it is a way of looking at many different questions within science. It refers to a ...

A scientist from the Mathematical Laboratory of RUDN University has obtained new results in a study of the inverse problem for coupled Schrödinger equations. This result will be useful for describing ...