Special Session 173: Mathematical and Numerical Analysis on Nonlinear PDEs

The lifespan of solutions of semilinear wave equations with characteristic weights in two space dimensions
Masakazu Kato
Graduate School of Science, University of Hyogo
Japan
Co-Author(s):    Hiroyuki Takamura, Kyouhei Wakasa
Abstract:
In this talk, we study the initial value problem for semilinear wave equations with characteristic weights in two space dimensions. Our purpose of this talk is to determine the critical exponent that separates the time global existence and non-existence of solutions and the sharp lifespan estimates. We classify the exponent and lifespan by the integral of higher-order moments of the initial positions and speeds.