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M. Burak Erdoğan

Profile picture for M. Burak  Erdoğan

Contact Information

Department of Mathematics
1409 W. Green Street
Urbana, IL 61801
Professor

Research Description

Harmonic Analysis, Dispersive PDE

Education

PhD Mathematics, Caltech, 2001

Additional Campus Affiliations

Professor, Mathematics

Recent Publications

Burak Erdoğan, M., & Tzirakis, N. (2024). Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Journal of Mathematical Physics, Analysis, Geometry, 20(4), 405-422. https://doi.org/10.15407/mag20.04.01

Erdoğan, M. B., Huynh, C. N. Y., & McConnell, R. (2024). Talbot effect on the sphere and torus for d≥2. Mathematische Zeitschrift, 306(3), Article 52. https://doi.org/10.1007/s00209-024-03447-2

Erdoğan, M. B., & Green, W. R. (2023). A note on endpoint Lp-continuity of wave operators for classical and higher order Schrödinger operators. Journal of Differential Equations, 355, 144-161. https://doi.org/10.1016/j.jde.2023.01.028

Erdoğan, M. B., Goldberg, M., & Green, W. R. (2023). Counterexamples to Lp boundedness of wave operators for classical and higher order Schrödinger operators. Journal of Functional Analysis, 285(5), Article 110008. https://doi.org/10.1016/j.jfa.2023.110008

Erdoğan, M. B., & Green, W. R. (2022). The Lp-continuity of wave operators for higher order Schrödinger operators. Advances in Mathematics, 404, Article 108450. https://doi.org/10.1016/j.aim.2022.108450

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