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Wave equations with logarithmic nonlinearity on hyperbolic spaces

Wang, Chengbo et al.
arXiv (All) · Papers
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35l05analysis-of-pdes
In light of the exponential decay of solutions of linear wave equations on hyperbolic spaces $\mathbb{H}^n$, to illustrate the critical nature, we investigate nonlinear wave equations with logarithmic nonlinearity, which behaves like $\left(\ln {1}/{|u|}\right)^{1-p}|u|$ near $u=0$, on hyperbolic sp
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