The orthonormal Strichartz inequality on torus

DOI10.1090/tran/7982zbMath1435.35017arXiv1801.08309OpenAlexW2971444151WikidataQ127301323 ScholiaQ127301323MaRDI QIDQ5217871

Shohei Nakamura

Publication date: 26 February 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08309

zbMATH Keywords

orthonormal Strichartz inequality on torusperiodic Hartree equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) A priori estimates in context of PDEs (35B45) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Strong ill-posedness for fractional Hartree and cubic NLS equations ⋮ Restriction theorem fails for the Fourier-Hermite transform associated with the normalized Hermite polynomials with respect to a discrete surface ⋮ Strichartz estimates for orthonormal families of initial data and weighted oscillatory integral estimates ⋮ The Hartree equation with a constant magnetic field: well-posedness theory

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