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math.AP2011★ 12 cited
Local well-posedness for the Zakharov system on multidimensional torus
Nobu Kishimoto
The initial value problem of the Zakharov system on two dimensional torus with general period is shown to be locally well-posed in the Sobolev spaces of optimal regularity, includi…
math.AP2011★ 3 cited
Construction of blow-up solutions for Zakharov system on
Nobu Kishimoto, Masaya Maeda
We consider the Zakharov system in two space dimension with periodic boundary condition. We prove the existence of finite time blow-up solutions. Further, we show there exists no m…