On the existence of infinite energy solutions for nonlinear Schrodinger equations

TL;DR

This paper investigates the existence and uniqueness of local and global solutions, including self-similar solutions, for nonlinear Schrödinger equations within Marcinkiewicz spaces, expanding understanding of solution behaviors.

Contribution

It introduces new existence and uniqueness results for nonlinear Schrödinger equations in Marcinkiewicz spaces, including the construction of self-similar solutions.

Findings

Established local and global solution existence

Proved uniqueness of solutions in Marcinkiewicz spaces

Constructed self-similar solutions

Abstract

We derive new results about existence and uniqueness of local and global solutions for nonlinear Schrodinger equation, including self-similar global solutions. Our analysis is performed in the framework of Marcinkiewicz spaces.