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XU Hong-mei, XU Wei. Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 71-76. doi: 10.3969/j.issn.1000-5641.2016.06.007
Citation:
XU Hong-mei, XU Wei. Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 71-76. doi: 10.3969/j.issn.1000-5641.2016.06.007
XU Hong-mei, XU Wei. Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 71-76. doi: 10.3969/j.issn.1000-5641.2016.06.007
Citation:
XU Hong-mei, XU Wei. Global existence and decay estimate of the solution for a BBM-Burgers equation without viscosity[J]. Journal of East China Normal University (Natural Sciences), 2016, (6): 71-76. doi: 10.3969/j.issn.1000-5641.2016.06.007
By constructing a Cauchy approximating sequence, we prove the local existence and give the decay estimate of the solution for a BBM-Burgers equation without viscosity. Using the variation of constant formula and the decay estimate of the fundamental solution, we obtain the global existence and decay estimate of solution of the system with small initial data.
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