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Time-decay and Strichartz estimates for the BBM equation on modulation spaces: Existence of local and global solutions
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-01-11 , DOI: 10.1016/j.jmaa.2021.124934 Carlos Banquet , Élder J. Villamizar-Roa
中文翻译:
调制空间上BBM方程的时间衰减和Strichartz估计:局部和全局解的存在
更新日期:2021-01-14
Journal of Mathematical Analysis and Applications ( IF 1.3 ) Pub Date : 2021-01-11 , DOI: 10.1016/j.jmaa.2021.124934 Carlos Banquet , Élder J. Villamizar-Roa
In this paper we derive time-decay and Strichartz estimates for the generalized Benjamin-Bona-Mahony equation on the framework of modulation spaces . We use these results to analyze the existence of local and global solutions of the corresponding Cauchy problem with rough data in modulation spaces. As consequence of the existence theorems in modulation spaces, some results in Sobolev spaces are derived.
中文翻译:
调制空间上BBM方程的时间衰减和Strichartz估计:局部和全局解的存在
在本文中,我们获得了调制空间框架下广义Benjamin-Bona-Mahony方程的时间衰减和Strichartz估计 。我们使用这些结果来分析调制空间中具有粗糙数据的相应柯西问题的局部和全局解的存在。作为调制空间中存在性定理的结果,得出了Sobolev空间中的一些结果。