Robert Schippa

PhD student and postdoctoral researcher within the IRTG in the working group of Prof. Dr. Sebastian Herr from 2016-2020. On 04/01/2020 I have moved to the CRC 1173 “Wave Phenomena” at KIT (Karlsruhe): Link to Homepage.

E-mail: robert.schippa–AT–uni-bielefeld.de

Nonlinear dispersive equations, Harmonic analysis in Euclidean space

1. Generalized inhomogeneous Strichartz estimates. Discrete and Continuous Dynamical Systems - Series A (2017) Vol. 37, No. 6, pp. 3387-3410. Link
2. Sharp Strichartz estimates in spherical coordinates. Communications on Pure and Applied Analysis (2017) Vol. 16, No. 6, pp. 2047-2051. Link
3. On the existence of periodic solutions to the modified Korteweg–de Vries equation. Journal of Evolution Equations (2019). Link
4. On Strichartz estimates from decoupling and applications. accepted for publication in Conference Proceedings: Mathematics of Wave Phenomena 2018 Link to Preprint
5. Local and global well-posedness for dispersion generalized Benjamin-Ono equations on the circle. Nonlinear Analysis:TMA. (2020). Link
6. On short-time bilinear Strichartz estimates and applications to the Shrira equation. accepted for publication in Nonlinear Analysis: TMA. Link to Preprint
7. On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations. accepted for publication in Discrete and Continuous Dynamical Systems. Link to Preprint

1. A priori estimates of periodic solutions to the modified Benjamin-Ono equation. Link to Preprint
2. (w/ Shinya Kinoshita) Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation Link to Preprint

Short-time Fourier transform restriction phenomena and applications to nonlinear dispersive equations