TL;DR
This paper revisits a well-studied graph in the context of the nonlinear Schrödinger equation, correcting previous errors and expanding on earlier proofs to improve understanding.
Contribution
It corrects mistakes and extends proofs related to the rectangle graph used in analyzing the nonlinear Schrödinger equation.
Findings
Corrected previous errors in the analysis of the rectangle graph
Expanded proofs to clarify the mathematical treatment
Enhanced understanding of the graph's role in the nonlinear Schrödinger equation
Abstract
We go back to a graph used extensively in previous papers with Michela Procesi and Bich Van Nguyen to studi the non linear Scroginger equation. We fix several mistakes of that treatment and try to expand some proofs which were confused or just too short.
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Taxonomy
TopicsMathematics and Applications