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Well-posedness for good Boussinesq equations subject to quasi-periodic initial data

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 نشر من قبل Yixian Gao
 تاريخ النشر 2020
  مجال البحث
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This paper concerns the local well-posedness for the good Boussinesq equation subject to quasi-periodic initial conditions. By constructing a delicately and subtly iterative process together with an explicit combinatorial analysis, we show that there exists a unique solution for such a model in a small region of time. The size of this region depends on both the given data and the frequency vector involved. Moreover the local solution has an expansion with exponentially decaying Fourier coefficients.



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