PDE Seminar (2017/11/10):Some study on the blowup problem of scale-invariant damping wave equation with Strauss type exponent.

Date
2017-11-10 16:30 - 2017-11-10 17:30
Place
Faculty of Science Building #3, Room 309
Speaker/Organizer
Tu Ziheng (Hokkaido University)
 
In this talk, I would like to share some of my recent study on this problem. By introducing the modified Bessel function of second kind $K_\nu$, the blowup range is extended from $p_F(n)\leq p < p_s(n+2\mu)$ to $p_F(n)\leq p < p_s(n+\mu)$ for the sub-Strauss exponent. For the critical Strauss exponent, applying the plane wave fourmula and utilizing the limiting behavior of $K_\nu$, the desired lifespan estimate is obtained.