Local Well-Posedness for the Nonlinear Schrödinger Equation in the Intersection of Modulation Spaces $$M_{p, q}^s({\mathbb {R}}^d) \cap M_{\infty , 1}({\mathbb {R}}^d)$$

DOI10.1007/978-3-030-47174-3_6zbMath1460.35318arXiv1610.08298OpenAlexW4235443719MaRDI QIDQ4964108

Peer Christian Kunstmann, Leonid Chaichenets, Nikolaos Pattakos, Dirk Hundertmark

Publication date: 24 February 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08298

zbMATH Keywords

nonlinear Schrödinger equation

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Harmonic analysis and PDEs (42B37)

Related Items (3)

Global wellposedness of NLS in \(H^1(\mathbb{R}) + H^s(\mathbb{T})\) ⋮ On smoothing estimates in modulation spaces and the nonlinear Schrödinger equation with slowly decaying initial data ⋮ On the global wellposedness of the Klein-Gordon equation for initial data in modulation spaces

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