A pseudoparabolic equation with nonlocal pu(x,t) - Laplace operator

Khompysh K. Shmarev S.
2025 John Wiley and Sons Inc

Mathematische Nachrichten
2025

We study the Dirichlet problem for the pseudoparabolic equation perturbed with the (Formula presented.) -Laplacian diffusion term, (Formula presented.) where the argument of the exponent (Formula presented.) depends on the sought solution: (Formula presented.) with a given function (Formula presented.). 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 (Formula presented.).

existence , nonlocal equation , pseudoparabolic equation , p[u]-Laplacian , uniqueness

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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Mathematics Department, University of Oviedo, Oviedo, Spain

Al-Farabi Kazakh National University
Mathematics Department

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026