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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…