93 citations · 491 across the 27 of their papers we have counts for
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math.AP2017★ 3 cited
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…
math.AP2017★ 62 cited
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…
math.AP2017★ 93 cited
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…