Some remarks on the Cauchy Problem for Schr\"odinger type equations in Gelfand-Shilov spaces
Analysis of PDEs
2023-09-18 v1
Abstract
We consider the Cauchy problem for Schr\"odinger type operators. Under a suitable decay assumption on the imaginary part of the first order coefficients we prove well-posedness of the Cauchy problem in Gelfand-Shilov classes. We also discuss the optimality of our result through some examples.
Keywords
Cite
@article{arxiv.2309.08194,
title = {Some remarks on the Cauchy Problem for Schr\"odinger type equations in Gelfand-Shilov spaces},
author = {Alexandre Arias Junior},
journal= {arXiv preprint arXiv:2309.08194},
year = {2023}
}