Jan Rozendaal

Project data:

Sonata 17 grant 2021/43/D/ST1/00667.
Financed by the National Science Centre, Poland.
03-10-2022 to 02-10-2025.
970,740 PLN.
 

Project goal:

The project concerns the construction and use of new function spaces to study local smoothing for wave equations. This builds upon work which connects local smoothing estimates for the Euclidean wave equation, as well as the lp decoupling inequality for the light cone, to the Hardy spaces for Fourier integral operators.
For a more accessible (albeit imprecise) description, see here (i po polsku).
 

Project team:

  1. Jan Rozendaal. Principal Investigator.
  2. Abhishek Ghosh. Postdoctoral Fellow.

Research output:

  1. Function spaces for decoupling. 2023, 41 pages. Available here. With A. Hassell, P. Portal and P.-L. Yung.
  2. Local smoothing and Hardy spaces for Fourier integral operators on manifolds. J. Funct. Anal. 286 (2024), no. 2, Paper No. 110221. With N. Liu, L. Song and L. Yan.


Presentations:

  • Leibniz University Hannover, Germany. November 2023.
  • Geometric Function and Mapping Theory seminar, IMPAN. November 2023.
  • Sun Yat-Sen University, China. October 2023.
  • Kiel University, Germany. April 2023.
  • AustMS Annual Meeting 2022. Sydney, Australia. December 2022.
  • Analysis and PDE seminar. Australian National University, Australia. November 2022.
  • Analysis seminar. Monash University, Australia. November 2022.
  • Analysis seminar. Macquarie University, Australia. November 2022.


Travels:

  • Leibniz University Hannover, Germany. 19-22 November 2023.
  • Sun Yat-Sen University, China. 4-17 October 2023.
  • Kiel University, Germany. 17-21 April 2023.
  • AustMS Annual Meeting 2022. Sydney, Australia. 6-9 December 2022. 
  • Australian National University, Australia. 13 November to 4 December 2022.
  • Sydney, Canberra and Melbourne, Australia. 28 October to 12 November 2022.

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