Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude

作者：Yang, Shaojie^*; Xu, Tianzhou

来源：APPLICABLE ANALYSIS, 2019, 98(5): 981-990.

DOI：10.1080/00036811.2017.1408079

• Shallow water wave equation
• local well-posedness
• persistence property

In this paper, we study the local well-posedness for a shallow water wave equation for waves of large amplitude in the framework of Sobolev spaces. By using Kato's semigroup approach for quasilinear evolution equations, we establish the local well-posedness in H-s with s > 3/2 . Furthermore, we show a persistence property for strong solutions.

• 出版日期2019-4-4
• 单位北京理工大学