25 citations · 107 across the 17 of their papers we have counts for
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math.AP2013★ 5 cited
Well-posedness and scattering for nonlinear Schrödinger equations with a derivative nonlinearity at the scaling critical regularity
Hiroyuki Hirayama
In the present paper, we consider the Cauchy problem of nonlinear Schrödinger equations with a derivative nonlinearity which depends only on . The well-posedness of the eq…
math.AP2013★ 1 cited
Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with low regularity periodic initial data
Hiroyuki Hirayama
We consider the Cauchy problem of a system of quadratic derivative nonlinear Schrödinger equations which was introduced by M. Colin and T. Colin (2004) as a model of laser-plasma i…
math.AP2013★ 25 cited
Well-posedness and scattering for a system of quadratic derivative nonlinear Schrödinger equations with low regularity initial data
Hiroyuki Hirayama
In the present paper, we consider the Cauchy problem of a system of quadratic derivative nonlinear Schrödinger equations which was introduced by M. Colin and T. Colin (2004) as a m…