2 citations · 7 across the 19 of their papers we have counts for
3 papers · 1 filter
A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schrödinger Equations
Shuji Machihara, Hayato Miyazaki, Tohru Ozawa
We present a unified framework for the rigorous derivation of conservation laws and related identities for nonlinear Schrödinger equations with power-type nonlinearities. This appr…
A comparison of the weakest contractive conditions for Banach and Kannan mappings
Shunya Hashimoto, Misako Kikkawa, Shuji Machihara +1
We study the weakest convergence-type conditions for fixed point results for Banach and Kannan mappings. Building on Suzuki's weakest condition for Banach mappings and our previous…
Exponential Decay of -Solutions to Stochastic Nonlinear Schrödinger Equations Driven by Continuous Martingales
Isamu Dôku, Shunya Hashimoto, Shuji Machihara
We investigate the global well-posedness and asymptotic behavior of -solutions to stochastic nonlinear Schrödinger equations with multiplicative noise driven by continuous squ…