The \(L^1\) stability of strong solutions to a generalized \textit{BBM} equation

DOI10.1186/1029-242X-2014-3zbMath1332.35083WikidataQ59324351 ScholiaQ59324351MaRDI QIDQ257703

Aiyin Wang, Shaoyong Lai

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong solutions\(L^1\) stabilitygeneralized \textit{BBM} equation

Mathematics Subject Classification ID

Wave equation (35L05) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

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• The extended tanh method for new compact and noncompact solutions for the KP-BBM and the ZK-BBM equations
• Unique continuation property and control for the Benjamin-Bona-Mahony equation on a periodic domain
• \(L_q\)-decay rates of solutions for Benjamin-Bona-Mahony-Burgers equations
• The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• The initial-value problem for the Korteweg-de Vries equation
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• Model equations for long waves in nonlinear dispersive systems

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