3 papers
math.AP2026
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 app…
math.AP2026
Large-data -decay for attractive-dissipative nonlinear Schrödinger equations without the strong dissipative condition
Naoyasu Kita, Hayato Miyazaki, Takuya Sato
We prove a large-data -decay estimate for nonlinear dissipative Schrödinger equations with attractive-dissipative power nonlinearity. The main difficulty is the lack of sign…
math.AP2025
Refinement of the -decay estimate of solutions to nonlinear Schrödinger equations with attractive-dissipative nonlinearity
Naoyasu Kita, Hayato Miyazaki, Takuya Sato
This paper is concerned with the -decay estimate of solutions to nonlinear dissipative Schrödinger equations with power-type nonlinearity of the order . It is known that…