Infinite-energy solutions to energy-critical nonlinear Schr\"odinger equations in modulation spaces
Analysis of PDEs
2022-08-29 v3
Abstract
We prove new well-posedness results for energy-critical nonlinear Schr\"odinger equations in modulation spaces. This covers initial data with infinite mass and energy. The proof is carried out via bilinear refinements and adapted function spaces.
Keywords
Cite
@article{arxiv.2204.01001,
title = {Infinite-energy solutions to energy-critical nonlinear Schr\"odinger equations in modulation spaces},
author = {Robert Schippa},
journal= {arXiv preprint arXiv:2204.01001},
year = {2022}
}
Comments
14 pages; references added