Local smoothing estimates of fractional Schrödinger equations in $$\alpha $$-modulation spaces with some applications
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematics (miscellaneous)
Link
https://link.springer.com/content/pdf/10.1007/s00028-023-00891-1.pdf
Reference42 articles.
1. Árpád Bényi, Karlheinz Gröchenig, Kasso A. Okoudjou, and Luke G. Rogers. Unimodular Fourier multipliers for modulation spaces. J. Funct. Anal., 246(2):366–384, 2007.
2. Lasse Borup and Morten Nielsen. Banach frames for multivariate $$\alpha $$-modulation spaces. J. Math. Anal. Appl., 321(2):880–895, 2006.
3. Jean Bourgain and Ciprian Demeter. The proof of the $$l^2$$ decoupling conjecture. Ann. of Math. (2), 182(1):351–389, 2015.
4. Jean Bourgain and Ciprian Demeter. Decouplings for curves and hypersurfaces with nonzero Gaussian curvature. J. Anal. Math., 133:279–311, 2017.
5. Leonid Chaichenets, Dirk Hundertmark, Peer Christian Kunstmann, and Nikolaos Pattakos. Local well-posedness for the nonlinear Schrödinger equation in the intersection of modulation spaces $$M_{p, q}^s({\mathbb{R} }^d) \cap M_{\infty , 1}({\mathbb{R}}^d)$$. arXiv e-prints, arXiv:1610.08298, 2016.
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