Global existence and decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multiple dimensions

DOI10.1007/s40306-014-0054-3zbMath1302.35117OpenAlexW2068700186WikidataQ59323791 ScholiaQ59323791MaRDI QIDQ744436

Guyu Xin, Hong-mei Xu

Publication date: 25 September 2014

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-014-0054-3

zbMATH Keywords

energy methodFourier analysisfrequency decompositionoptimal \(L^2\) decay estimate

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25)

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• Initial boundary value problem for one class of system of multidimensional inhomogeneous GBBM equations
• Long time behavior for solution of initial-boundary value problem of one class of systems with multidimensional inhomogeneous GBBM equations
• The decay rates of solutions of generalized Benjamin-Bona-Mahony equations in multi-dimensions
• Long time behavior of solutions of the generalized Benjamin-Bona-Mahony equation in two space dimensions
• Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions
• On the Benjamin-Bona-Mahony equation in higher dimensions
• Decay of solution of generalized Benjamin—Bona—Mahony—Burgers equations in n-space dimensions
• Model equations for long waves in nonlinear dispersive systems
• The pointwise estimates of solutions for Euler equations with damping in multi-dimensions

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