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math.AP2012
Low regularity data for the periodic Kawahara equation
Takamori Kato
In this paper, we consider the well-posedness for the Cauchy problem of the Kawahara equation with low regularity data in the periodic case. We obtain the local well-posedness for…
math.AP2012★ 1 cited
Global well-posedness for the Kawahara equation with low regularity data
Takamori Kato
We consider the global well-posedness for the Cauchy probelem of the Kawahara equation which is one of the fifth order KdV type equations. We first establish the local well-posedne…