Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.
Ikehata,Global existence of solutions for semilinear damped wave equa- tion in 2-D exterior domain, J
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Existence of solutions to the semilinear damped wave equation with non-$L^2$ slowly decaying data : polynomial nonlinearity case
Establishes local and global existence of solutions to the semilinear damped wave equation with polynomial nonlinearity for slowly decaying non-L2 initial data via L^p-L^q estimates and fractional Leibniz rule in homogeneous Besov spaces.