We consider the problem of identifying an unknown diffusion coefficient in a nonlinear diffusion equation from overspecified data measured on the boundary. Conditions ensuring compatibility of the ...
In this article we develop a number of monotonicity estimates of the solution to certain nonlinear diffusion equations. These estimates are then applied to prove a uniqueness result for an unknown ...
The study of molecular diffusion coefficients and their prediction models remains central to understanding mass transport across chemical and biological systems. Recent advances have sought to enhance ...