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- W4289082980 abstract "Hormander proved global existence of solutions for sufficiently small initial data for scalar wave equations in $(1+4)-$dimensions of the form $Box u = Q(u, u', u'')$ where $Q$ vanishes to second order and $(partial_u^2 Q)(0,0,0)=0$. Without the latter condition, only almost global existence may be guaranteed. The first author and Sogge considered the analog exterior to a star-shaped obstacle. Both results relied on writing the lowest order terms $upartial_alpha u = frac{1}{2}partial_alpha u^2$ and as such do not immediately generalize to systems. The current study remedies such and extends both results to the case of multiple speed systems." @default.
- W4289082980 created "2022-08-01" @default.
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- W4289082980 date "2018-12-31" @default.
- W4289082980 modified "2023-10-16" @default.
- W4289082980 title "Global existence for systems of quasilinear wave equations in (1+4)-dimensions" @default.
- W4289082980 doi "https://doi.org/10.48550/arxiv.1812.11956" @default.
- W4289082980 hasPublicationYear "2018" @default.
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