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- W4291174545 abstract "Estimating the norm of the solution of the linear difference equation $u(theta)-u(theta+omega)=v(theta)$ plays a fundamental role in KAM theory. Optimal (in certain sense) estimates for the solution of this equation were provided by Russmann in the mid 70's. The aim of this paper is to compare the sharpness of these classic estimates with more specific estimates obtained with the help of the computer. We perform several experiments to quantify the improvement obtained when using computer assisted estimates. By comparing these estimates with the actual norm of the solution, we can analyze the different sources of overestimation, thus encouraging future improvements." @default.
- W4291174545 created "2022-08-13" @default.
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- W4291174545 date "2017-03-20" @default.
- W4291174545 modified "2023-09-29" @default.
- W4291174545 title "On the sharpness of the Russmann estimates" @default.
- W4291174545 doi "https://doi.org/10.48550/arxiv.1703.06809" @default.
- W4291174545 hasPublicationYear "2017" @default.
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