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A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition

A time-dependent inverse source problem for a semilinear pseudo-parabolic equation with Neumann boundary condition

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 Neumann boundary condition. This unknown source term is recovered from the integral measurement over the domain $\Omega$. Based on Rothe's method, the existence and uniqueness of …