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20242026
most citedGlobal well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance

2 citations · 2 across the 5 of their papers we have counts for

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math.AP2025

Remarks on the derivation of the virial identity for nonlinear Schrödinger equations

Tomoyuki Ikeda, Shuji Machihara, Hayato Miyazaki +1

We revisit the derivation of the virial identity for nonlinear Schrödinger equations. In \cite{O06, FM17}, several conservation laws, such as for the charge and the energy, were de…

math.AP2025

Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance

Hayato Miyazaki, Motohiro Sobajima

This paper is concerned with a threshold phenomenon for the existence of scattering states for nonlinear Schrödinger equations. The nonlinearity includes a non-oscillatory term of…