A Sharp Bilinear Estimate for the Bourgain-Type Space with Application to the Benjamin Equation

DOI10.1080/03605302.2010.507688zbMath1228.35198arXiv0908.3429OpenAlexW2030018006MaRDI QIDQ3069843

Jie Xiao, Chen, Wengu

Publication date: 20 January 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3429

zbMATH Keywords

sharpbilinear estimateBenjamin equation\([k,Z\) multiplier]Bourgain-type spacelocal well/ill-posedness

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (7)

Evolution of the radius of analyticity for the generalized Benjamin equation ⋮ Sharp well-posedness for the Benjamin equation ⋮ Global smoothing for the periodic Benjamin equation in low-regularity spaces ⋮ Global well-posedness of the two-dimensional Benjamin equation in the energy space ⋮ Global well-posedness for the Benjamin equation in low regularity ⋮ On the controllability and stabilization of the Benjamin equation on a periodic domain ⋮ Local well-posedness for periodic Benjamin equation with small initial data

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