In this paper, we consider the dissipative DegasperisProcesi equation with arbitrary dispersion coefficient and compactly supported initial data. We establish the simple condition on the initial data which lead to guarantee that the solution exists globally. We also investigate the propagation speed for the equation under the initial data is compactly supported.
Citation: Guenbo Hwang, Byungsoo Moon. Global existence and propagation speed for a DegasperisProcesi equation with both dissipation and dispersion[J]. Electronic Research Archive, 2020, 28(1): 1525. doi: 10.3934/era.2020002
Abstract
In this paper, we consider the dissipative DegasperisProcesi equation with arbitrary dispersion coefficient and compactly supported initial data. We establish the simple condition on the initial data which lead to guarantee that the solution exists globally. We also investigate the propagation speed for the equation under the initial data is compactly supported.
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