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- W2918534694 abstract "We consider the discrete nonlinear Schrödinger equations on a one dimensional lattice of mesh $ h $, with a cubic focusing or defocusing nonlinearity. We prove a polynomial bound on the growth of the discrete Sobolev norms, uniformly with respect to the stepsize of the grid. This bound is based on a construction of higher modified energies." @default.
- W2918534694 created "2019-03-11" @default.
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- W2918534694 date "2019-01-01" @default.
- W2918534694 modified "2023-10-15" @default.
- W2918534694 title "Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on <inline-formula><tex-math id=M1>begin{document}$ hmathbb{Z} $end{document}</tex-math></inline-formula>" @default.
- W2918534694 doi "https://doi.org/10.3934/dcds.2019131" @default.
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