Yuji Sagawa

most citedA sharp lower bound for the lifespan of small solutions to the Schrödinger equation with a subcritical power nonlinearity

3 citations · 3 across the 2 of their papers we have counts for

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2023

Recent advances on Schrödinger equations with dissipative nonlinearities

Chunhua Li, Yoshinori Nishii, Yuji Sagawa +1

We give a survey on recent developments on nonlinear Schrödinger equations with dissipative structure based on the authors' recent works.

math.AP2017★ 3 cited

A sharp lower bound for the lifespan of small solutions to the Schrödinger equation with a subcritical power nonlinearity

Yuji Sagawa, Hideaki Sunagawa, Shunsuke Yasuda

Let $T_{ε}$ be the lifespan for the solution to the Schrödinger equation on $R^{d}$ with a power nonlinearity $λ ∣ u ∣^{2 θ / d} u$ ( $λ \in C$ , $0 < θ < 1$ ) and the initial data…