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	Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrodinger and wave equations
	Guo, Zihua ; Wang, Yuzhao
	2014
关键词	ANGULAR REGULARITY CAUCHY-PROBLEM SCATTERING POSEDNESS EXISTENCE SPACE DECAY
英文摘要	We prove some new Strichartz estimates for a class of dispersive equations with radial initial data. In particular, we obtain the full radial Strichartz estimates up to some endpoints for the Schrodinger equation. Using these estimates, we obtain some new results related to nonlinear problems, including small data scattering and large data LWP for the nonlinear Schrodinger and wave equations with radial critical initial data and the well-posedness theory for the fractional order Schrodinger equation in the radial case.; Mathematics; SCI(E); 0; ARTICLE; zihuaguo@math.pku.edu.cn; wangyuzhao2008@gmail.com; 1-38; 124
语种	英语
出处	SCI
出版者	journal d analyse mathematique
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157284]
专题	数学科学学院
推荐引用方式 GB/T 7714	Guo, Zihua,Wang, Yuzhao. Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrodinger and wave equations. 2014-01-01.

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