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- W2963748909 abstract "Abstract We revise the classical approach by Brezis–Gallouet to prove global well-posedness for nonlinear evolution equations. In particular we prove global well-posedness for the quartic NLS on general domains Ω in R 2 with initial data in H 2 ( Ω ) ∩ H 0 1 ( Ω ) , and for the quartic nonlinear half-wave equation on R with initial data in H 1 ( R ) ." @default.
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- W2963748909 date "2016-08-01" @default.
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- W2963748909 title "An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation" @default.
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- W2963748909 doi "https://doi.org/10.1016/j.anihpc.2015.03.004" @default.
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