-
13 Sep 2021 - 18 Sep 2021
8:00 am - 10:00 am
Organisers:
MATRIX
Zihua Guo (Monash University)
Andrew Hassell (Australian National University)
Pierre Portal (Australian National University)
Po Lam Yung (Australian National University)
MFO
Dorothee Frey (Karlsruhe Institute of Technology)
Jan Rozendaal (Institute of Mathematics of the Polish Academy of Sciences)
Program Description:
The consideration of wave propagation in inhomogeneous media or the modelling of nonlinear wave phenomena often requires the study of wave equations with low regularity data and/or coefficients. Several Australian-European collaborations have recently successfully brought new insight into the analytical understanding of rough wave equations. Our tandem workshop will provide a platform for such collaborations and bring together leading experts as well as early career researchers on the topic. This includes experts on microlocal analysis, harmonic analysis, spectral theory and geometric analysis. The workshop will focus on collaboration and technical knowledge exchange on topics such as Strichartz estimates, local smoothing, Hardy spaces for Fourier integral operators, wave packets, and nonlinear wave equations such as the Zakharov system.
Talk List:
| Pierre Portal | Fixed time $L^p$ estimates for certain wave equations with rough coefficients |
| Po Lam Yung | The local smoothing conjecture for the wave equation: a survey |
| Jan Rozendaal | Local smoothing and Hardy spaces for Fourier integral operators |
| Zihua Guo | Decay of solutions to the energy critical nonlinear Schrodinger and wave equation |
| Andrew Hassell | Wave equations with rough coefficients and regularity in Hardy spaces for Fourier integral operators |
| Melissa Tacy | Intersections between mircolocal, semiclassical and harmonic analysis |
| Alessio Martini | Spectral multipliers and wave equation for sub-Laplacians |
| Sebastian Herr | Nonlinear Dirac Equations |
| Himani Sharma | Spectral multiplier estimates for abstract differential operators |
| Robert Schippa | Quasilinear Maxwell equations |
| David Rule | Boundedness of multilinear oscillatory integral operators in local Hardy spaces |
| Adam Sikora | Quantum separation effect |
| Michael Cowling | Characterising Hardy spaces |
| Antoine Gansemer | Possible exact Egorov theorem on hyperbolic surfaces |
| Xuan Duong | BMO spaces on non-doubling manifolds with ends |
| Timothy Candy | The transference principle and bilinear restriction estimates |
| Volker Schlue | Scattering from infinity for semi-linear wave equations with weak null condition |
| Marina Iliopoulou | Sharp L^p estimates for oscillatory integral operators of according to signature |
Online Participant List:
1. Timothy Candy (University of Otago)
2. Michael G. Cowling (University of New South Wales)
3. Xuan Duong (Macquarie University)
4. Dorothee Frey (Karlsruher Institut für Technologie (KIT))
5. Antoine Gansemer (Australian National University)
6. Sean Gomes (Australian National University)
7. Zihua Guo (Monash University)
8. Sean Harris (Australian National University)
9. Andrew Hassell (Australian National University)
10. Sebastian Herr (Universität Bielefeld)
11. Marina Iliopoulou (University of Kent, UNITED KINGDOM)
12. Alessio Martini (The University of Birmingham Edgbaston)
13. Yonas Mesfun (Karlsruher Institut für Technologie (KIT))
14. Detlef Müller (Christian-Albrechts-Universität zu Kiel)
15. Pierre Portal (Australian National University)
16. Jan Rozendaal (Polish Academy of Sciences)
17. David Rule (Linköping University SWEDEN)
18. Robert Schippa (Karlsruher Institut für Technologie (KIT))
19. Volker Schlue (The University of Melbourne)
20. Himani Sharma (Australian National University)
21. Adam B. Sikora (Macquarie University)
22. Melissa Tacy (The University of Auckland Auckland)
23. Po-Lam Yung (Australian National University)
