Blow up of solutions for semilinear wave equations with noneffective damping

2018/02/23 by Li, Zijin, Pan, Xinghong
#35L05 #35L71 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.08403

Abstract

In this paper, we study the finite-time blow up of solutions to the following semilinear wave equation with time-dependent damping ∂_t²u-Δu+\fracμ1+t∂_tu=|u|^p in ℝ₊×ℝⁿ. More precisely, for 0≤μ≤ 2,μ≠1 and n≥ 2, there is no global solution for 1

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