We revise the classical approach by Brézis–Gallouët to prove global well-posedness for nonlinear evolution equations. In particular we prove global well-posedness for the quartic NLS on general domains in R^2 and for the quartic nonlinear half-wave equation on R.
An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation
VISCIGLIA, NICOLA
2015-01-01
Abstract
We revise the classical approach by Brézis–Gallouët to prove global well-posedness for nonlinear evolution equations. In particular we prove global well-posedness for the quartic NLS on general domains in R^2 and for the quartic nonlinear half-wave equation on R.File in questo prodotto:
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