Global existence and pointwise estimates of solutions to generalized Benjamin-Bona-Mahony equations in multi dimensions

DOI10.1007/s11401-014-0841-0zbMath1302.35116OpenAlexW2006436086MaRDI QIDQ741486

Yan Liang, Hong-mei Xu

Publication date: 12 September 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-014-0841-0

zbMATH Keywords

energy methodFourier analysisdecay ratepointwise estimatespropagation along the characteristic line

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) 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
• 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
• The pointwise estimates of diffusion wave for the Navier-Stokes systems in odd multi-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