Special Session 175: Modern Trends in Partial Differential Equations and General Relativity

Spatially weighted nonlinear wave equations in 1D and Li-Zhou theorem
Hiroyuki Takamura
Tohoku University
Japan
Co-Author(s):    Ning-An Lai, Cui Ren, Takiko Sasaki
Abstract:
I will focus on one dimensional wave equations with spatially weighted nonlinear terms which include the equation arising from cosmology as a special case. The sharp lifespan estimates are given both from below and above, but it is remarkable that the proof of the blow-up part is closely related to Li-Zhou theorem on nonlinear classical damped wave equations in 1995.