93 citations · 297 across the 25 of their papers we have counts for
4 papers · 2 filters
Nonexistence of global solutions of nonlinear wave equations with weak time-dependent damping related to Glassey conjecture
Ning-An Lai, Hiroyuki Takamura
This work is devoted to the nonexistence of global-in-time energy solutions of nonlinear wave equation of derivative type with weak time-dependent damping in the scattering and sca…
Blow-up for semilinear damped wave equations with sub-Strauss exponent in the scattering case
Ning-An Lai, Hiroyuki Takamura
It is well-known that the critical exponent for semilinear damped wave equations is Fujita exponent when the damping is effective. Lai, Takamura and Wakasa in 2017 have obtained a…
The sharp lifespan estimate for semilinear damped wave equation with Fujita critical power in high dimensions
Ning-An Lai, Yi Zhou
This paper is concerned about the lifespan estimate to the Cauchy problem of semilinear damped wave equations with the Fujita critical exponent in high dimensions. We es…
Blow-up for semilinear wave equations with the scale invariant damping and super-Fujita exponent
Ning-An Lai, Hiroyuki Takamura, Kyouhei Wakasa
The blow-up for semilinear wave equations with the scale invariant damping has been well-studied for sub-Fujita exponent. However, for super-Fujita exponent, there is only one blow…