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Decay of solutions of generalized Benjamin-Bona-Mahony equations

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Abstract

This paper is a discussion of global solutions to the initial value problems for generalized Banjamin-Bona-Mahony equations. Some long time behaviors of the solutions are presented with the initial data in some certain Sobolev spaces. We employ the method of integral estimate, Fourier transform and Gronwall's inequality.

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  1. Department of Mathematics, The Ohio State University, 43210, Columbus, Ohio, USA

    Zhang Linghai

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  1. Zhang Linghai
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Linghai, Z. Decay of solutions of generalized Benjamin-Bona-Mahony equations. Acta Mathematica Sinica 10, 428–438 (1994). https://doi.org/10.1007/BF02582039

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  • DOI: https://doi.org/10.1007/BF02582039

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