Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary
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In this article, we prove the existence of solutions for a hyperbolic equation known as the the Rosenau and Benjamin-Bona-Mahony equations. We study increasing, decreasing, and mixed non-cylindrical domains. Our main tools are the Galerkin method, multiplier techniques, and energy estimates.
CitationBarreto, R. K., de Caldas, C. S. Q., Gamboa, P., & Limaco, J. (2004). Existence of solutions to the Rosenau and Benjamin-Bona-Mahony equation in domains with moving boundary. Electronic Journal of Differential Equations, 2004(35), pp. 1-12.
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