21 citations · 32 across the 6 of their papers we have counts for
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math.AP2018★ 8 cited
The lifespan of solutions of semilinear wave equations with the scale-invariant damping in one space dimension
Masakazu Kato, Hiroyuki Takamura, Kyouhei Wakasa
The critical constant of time-decaying damping in the scale-invariant case is recently conjectured. It also has been expected that the lifespan estimate is the same as for the asso…
math.AP2018★ 1 cited
Global existence and blow-up for semilinear damped wave equations in three space dimensions
Masakazu Kato, Miku Sakuraba
We consider initial value problem for semilinear damped wave equations in three space dimensions. We show the small data global existence for the problem without the spherically sy…