Research Article

An inverse source problem for a nonlinear pseudoparabolic equation with p-Laplacian diffusion and damping term

Published in: Quaestiones Mathematicae
Volume 46 , issue 9 , 2023 , pages: 1889–1914

DOI: 10.2989/16073606.2022.2115951

Author(s): Khonatbek Khompysh Al-Farabi Kazakh National University, Kazakhstan , Aidos Ganizhanuly Shakir Al-Farabi Kazakh National University, Kazakhstan

Keywords: Primary: 35R30 , 35D30 , 35A01 , 35K92 , Secondary: 35K70 , Inverse problem , pseudoparabolic equation , p-Laplacian , damping term , global and local existence , uniqueness

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Abstract

In this work, we study the unique solvability of the inverse problem that consists of determining a weak solution u(x, t) to the nonlinear pseudoparabolic equation with p−Laplacian and damping term

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