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Sharp local well-posedness for the ``good'' Boussinesq equation - MaRDI portal

Sharp local well-posedness for the ``good'' Boussinesq equation (Q1939301)

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Sharp local well-posedness for the ``good'' Boussinesq equation
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    Sharp local well-posedness for the ``good'' Boussinesq equation (English)
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    4 March 2013
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    In this paper, the local well-posedness for the ``good'' Boussinesq equation is studied. By a crucial bilinear estimate, the author proves the local well-posedness and the ill-posedness for the initial value problem of the ``good'' Boussinesq equation on one-dimensional torus. These results seem sharp.
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    ``good'' Boussinesq equation
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    local we-posedness
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    ill-posedness
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    periodic boundary condition
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