Global existence of solutions for semilinear damped wave equations in RN with noncompactly supported initial data

By Ryo Ikehata, K. Tanizawa. 2005

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Decay properties of solutions to the Cauchy problem for the damped wave equation with absorption (2006, background): “See also Ikehata et al. [18], Ikehata and Tanizawa [17], Ono [29,30], Gallay and Raugel [7,8], Karch [20], and references therein for the global existence and its proﬁle.”
Global asymptotics of solutions to the Cauchy problem for the damped wave equation with absorption (2006, background): “appendix in Nishihara and Zhao [29], Ikehata and Tanizawa [16]).”
The threshold of effective damping for semilinear wave equations (2015, methodology): “3 in [4] and Lemma 9 in [8]), we may control”