18 citations · 54 across the 13 of their papers we have counts for
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math.AP2019★ 2 cited
Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order
Hayato Miyazaki, Motohiro Sobajima
This paper is concerned with the upper bound of the lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order. In [8], Ma…
math.AP2019★ 2 cited
Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations
Hayato Miyazaki
This paper is concerned with strong blow-up instability (Definition 1.3) for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations. In the single…
math.AP2019★ 1 cited
Local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity
Hayato Miyazaki
This paper is concerned with the local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity. The equation arises as a non-integrable an…