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Parabolic Equations with Singular Coefficients and Boundary Data: Analysis and Numerical Simulations
Arshyn Altybay, Alibek Yeskermessuly
We investigate linear parabolic equations in divergence form with singular coefficients and nonsmooth initial--boundary data. When the diffusion, drift, or potential terms, as well…
math.AP2025
Rothe's method in direct and time-dependent inverse source problems for a semilinear pseudo-parabolic equation
Karel Van Bockstal, Khonatbek Khompysh, Arshyn Altybay
In this paper, we investigate the inverse problem of determining an unknown time-dependent source term in a semilinear pseudo-parabolic equation with variable coefficients and a Di…