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2025
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Abstract We study the Dirichlet problem for the pseudoparabolic equation perturbed with the ‐Laplacian diffusion term, where the argument of the exponent depends on the sought solution: with a given function . Under suitable conditions on the problem data, we prove the existence and uniqueness of a weak solution. It is shown that the solutions of the pseudoparabolic problem converge to the solution of the corresponding parabolic problem as .