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| Global Existence and Pointwise Estimates of Solutions toGeneralized Benjamin-Bona-Mahony Equations inMulti Dimensions |
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Citation： |
Hongmei XU,Yan LIANG1.Global Existence and Pointwise Estimates of Solutions toGeneralized Benjamin-Bona-Mahony Equations inMulti Dimensions[J].Chinese Annals of Mathematics B,2014,35(4):659~668 |
| Page view： 1220
Net amount： 1070 |
Authors： |
Hongmei XU; Yan LIANG1; |
Foundation： |
the National Natural Science Foundation of China (No. 11101121). |
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| Abstract： |
This paper is concerned with the global existence and pointwise estimates of
solutions to the generalized Benjamin-Bona-Mahony equations in all space dimensions.
By using the energy method, Fourier analysis and pseudo-differential operators, the global
existence and pointwise convergence rates of the solution are obtained. The decay rate is
the same as that of the heat equation and one can see that the solution propagates along
the characteristic line. |
Keywords： |
Cauchy problem, Generalized Benjamin-Bona-Mahony equations, Multi
dimensions, Global existence, Pointwise estimates |
Classification： |
35L05 |
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