GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR A LOGARITHMIC WAVE EQUATION ARISING FROM Q-BALL DYNAMICS

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Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity (2019, background): “In [25], Han proved the global existence of weak solutions, for all (u0, u1) ∈ H(1) 0 (Ω)× L(2)(Ω), to the initial boundary value problem (1.”
Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term (2019, unknown): “Then its initial boundary value problem was considered by Han in [15]  utt − ∆u + u + ut + |u|2u = u ln |u|2, x ∈ Ω, t ∈ [0, T), u(x, 0) = u0(x), ut(x, 0) = u1(x), x ∈ Ω, u(x, t) = 0, x ∈ ∂Ω, t ∈ [0, T) (1.”
Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay (2018, background): “However, there is no theoretical analysis for the problem as in [3].”