Abstract
In this work, we study the Cauchy problem of the sixth-order Boussinesq equation. We shall use the $[k; Z]$-multiplier norm method to get a bilinear estimate on nonlinear term, and the local well-posedness on $H^s(\mathbb{R})$ is obtained for $s\gt-\frac{3}{4}$.
Citation
Amin Esfahani. Hongwei Wang. "A bilinear estimate with application to the sixth-order Boussinesq equation." Differential Integral Equations 27 (5/6) 401 - 414, May/June 2014. https://doi.org/10.57262/die/1396558088
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