3 papers
math.AP2025
A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition
K. Van Bockstal, K. Khompysh
In this paper, we study the inverse problem for determining an unknown time-dependent source coefficient in a semilinear pseudo-parabolic equation with variable coefficients and Ne…
math.AP2025
Parabolic PDEs on a fixed domain with evolving subdomains: function spaces and well-posedness
Van Chien Le, Karel Van Bockstal
This paper develops the necessary ingredients for the variational approach of initial boundary-value problems of parabolic partial differential equations on a fixed spatial domain…
math.NA2024
Numerical Algorithms for the Reconstruction of Space-Dependent Sources in Thermoelasticity
Frederick Maes, Karel Van Bockstal
This paper investigates the inverse problems of determining a space-dependent source for thermoelastic systems of type III under adequate time-averaged or final-in-time measurement…