Kyouhei Wakasa

activity

20112026

most citedThe sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions

5 citations · 10 across the 8 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math.AP2016

The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

Takuto Imai, Masakazu Kato, Hiroyuki Takamura +1

This paper is devoted to a proof of the conjecture in Takamura(2015) on the lower bound of the lifespan of solutions to semilinear wave equations in two space dimensions. The resul…

math.AP2016

Global Regularity for Supercritical Nonlinear Dissipative Wave Equations in 3D

Kyouhei Wakasa, Borislav Yordanov

The nonlinear wave equation $u_{tt} - Δ u + ∣ u_{t} ∣^{p - 1} u_{t} = 0$ is shown to be globally well-posed in the Sobolev spaces of radially symmetric functions $H^k_{\rm rad}({\bf R}^3)\times H…