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Bilinear local smoothing estimate and its application to the critical gKdV equation

Bilinear local smoothing estimate and its application to the critical gKdV equation,Soonsik Kwon,Tristan Roy

Bilinear local smoothing estimate and its application to the critical gKdV equation  
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We prove an improved version of bilinear local smoothing estimate to Airy solutions. Using this we study a smoothing property of Duhamel part of nonlinear solutions to the mass-critical generalized KdV equation.
Published in 2010.
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