Strichartz Estimates in Spherical Coordinates

By Yonggeun Cho, Sanghyuk Lee. 2012

82 citations recorded by the source corpus.

In this paper we study Strichartz estimates for dispersive equations which are defined by radially symmetric pseudo-differential operators, and of which initial data belongs to spaces of Sobolev type defined in spherical coordinates. We obtain the space time estimates on the best possible range including the endpoint cases.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/41589531d749f43b9a80877e935be5322110327a

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In Applied Mathematics

1. Tohru Ozawa
2. Yonggeun Cho
3. Hichem Hajaiej
4. Gyeongha Hwang
5. Hyunseok Kim
6. Jing Li
7. Shihui Zhu
8. Qing Guo

In Mathematical Physics

1. Tohru Ozawa
2. Yonggeun Cho
3. Hichem Hajaiej
4. Gyeongha Hwang
5. Hyunseok Kim
6. Shihui Zhu
7. Qing Guo
8. Jing Li

Citations in the corpus

• On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity (2012, methodology): “Next we will use the recently developed radial Strichartz estimates [6, 16] as follows: for radial functions φ and F”