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- W4383115280 abstract "This chapter investigates the structure of the nonlinearities <italic>Nhαβ</italic> and <italic>Nψ</italic>. It decomposes these nonlinearities into quadratic and cubic and higher order components, and then decomposes these components dyadically in the Fourier space along every time-slice, using the Littlewood-Paley projections. Ideally, the chapter aims to prove that the nonlinearities satisfy bounds in suitable norms. Such optimal bounds are, of course, not true, as there is both derivative loss, due to the quasilinear nature of the system, and loss of decay in time, due to the slower decay of the metric components. However, the bounds can still serve as a guideline for the type of control that the chapter is looking for, and it is possible to prove such bounds up to small losses, both at the level of time decay and at the level of smoothness." @default.
- W4383115280 created "2023-07-05" @default.
- W4383115280 date "2022-03-15" @default.
- W4383115280 modified "2023-09-27" @default.
- W4383115280 title "The Nonlinearities Nαβh and Nψ" @default.
- W4383115280 doi "https://doi.org/10.23943/princeton/9780691233055.003.0004" @default.
- W4383115280 hasPublicationYear "2022" @default.
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