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Initial-boundary value problems on a half-strip for the modified Zakharov–Kuznetsov equation

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Abstract

Initial-boundary value problems on a half-strip with different types of boundary conditions for the modified Zakharov–Kuznetsov equation are considered. Results on local and global well-posedness in classes of mild and regular solutions, internal regularity of mild solutions and long-time decay of both mild and regular solutions are established. The solutions are considered in weighted at infinity Sobolev spaces.

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Acknowledgements

The author appreciates helpful comments of the reviewers, which significantly contributed to improve the initial version of the paper.

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  1. Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho–Maklaya Street, Moscow, Russian Federation, 117198

    Andrei V. Faminskii

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Faminskii, A.V. Initial-boundary value problems on a half-strip for the modified Zakharov–Kuznetsov equation. J. Evol. Equ. 21, 1263–1298 (2021). https://doi.org/10.1007/s00028-020-00624-8

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