Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations
Analysis of PDEs
2021-02-10 v2 Mathematical Physics
math.MP
Abstract
We establish the local wellposedness of different type of solutions the system with different types of initial data. We find there exists a critical exponents line in space dimension 3 and critical exponents point in space dimension 4. We also establish different scattering theories for the global solutions.
Keywords
Cite
@article{arxiv.2101.03483,
title = {Critical exponents line, scattering thoeries for a weighted gradient system of semilinear Schrodinger equations},
author = {Xianfa Song},
journal= {arXiv preprint arXiv:2101.03483},
year = {2021}
}
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101 Pages