Uniqueness of determination of the unknown source term in some multidimensional parabolic equations
Author
Zhegal, A.
Abstract
The purpose of this paper is to identify the unknown source term in a multidimensional parabolic equation by means of a one-point interior measurement of the solution at x₀ ∈ Ω, i.e. u(x₀, .) on [0, T ]; or a one-point boundary measurement, i.e. u(x̅₀, .) on [0, T ] with x̅₀ ∈ ∂Ω.