17 citations · 18 across the 2 of their papers we have counts for
2 papers
math.AP2024★ 1 cited
Blow-up of solutions to semilinear wave equations with spatial derivatives
Kerun Shao, Hiroyuki Takamura, Chengbo Wang
For small-amplitude semilinear wave equations with power type nonlinearity on the first-order spatial derivative, the expected sharp upper bound on the lifespan of solutions is obt…
math.AP2014★ 17 cited
Almost global solutions of semilinear wave equations with the critical exponent in high dimensions
Hiroyuki Takamura, Kyouhei Wakasa
We are interested in the "almost" global-in-time existence of classical solutions in the general theory for nonlinear wave equations. All the three such cases are known to be sharp…