Non-analytic Superposition Results on Modulation Spaces with Subexponential Weights
Analysis of PDEs
2015-10-27 v1 Functional Analysis
Abstract
Motivated by classical results for Gevrey spaces and their applications to nonlinear partial differential equations we define so-called Gevrey-modulation spaces. We establish analytic as well as non-analytic superposition results on Gevrey-modulation spaces. These results are extended to a special weighted modulation space where the weight increases stronger than any polynomial but less than as in the Gevrey case.
Cite
@article{arxiv.1510.07521,
title = {Non-analytic Superposition Results on Modulation Spaces with Subexponential Weights},
author = {Maximilian Reich and Michael Reissig and Winfried Sickel},
journal= {arXiv preprint arXiv:1510.07521},
year = {2015}
}
Comments
39 pages