Assistant Professor @ the Beijing International Center for Mathematical Research
Professor Yang obtained his PhD @Princeton University in 2013. He was a senior research associate @ the University of Cambridge from 2013-2016. Since 2016, he is an Assistant Professor @ the Beijing International Center for Mathematical research.
In this talk, I will report recent progress on global behaviors for solutions of energy subcritical defocusing semilinear wave equations with pure power nonlinearity. We prove that in space dimension 1 and 2, the solution decays in time with an inverse polynomial rate, hence giving an affirmative answer to a conjecture raised by Lindblad and Tao. In higher dimension, we obtain improved scattering results for the solutions. The proof is based on vector field method with new multipliers.
These works are jointed with Dongyi Wei.
© 2002-2020 The University of Sydney.
ABN: 15 211 513 464. CRICOS number: 00026A. Phone: +61 2 9351 2222.
Authorised by: Head, School of Mathematics and Statistics.