Abstract
In this paper, we prove Strichartz estimates for many body Schrödinger equations in the periodic setting, specifically on tori
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-2306429
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 12101046
Award Identifier / Grant number: 12271032
Award Identifier / Grant number: 12271051
Funding statement: Xiaoqi Huang is partially supported by an AMS-Simons travel grant. Xueying Yu is partially supported by NSF DMS-2306429. Zehua Zhao was supported by the NSF grant of China (No. 12101046, 12271032) and the Beijing Institute of Technology Research Fund Program for Young Scholars. Jiqiang Zheng was supported by NSF grant of China (No. 12271051) and Beijing Natural Science Foundation 1222019.
Acknowledgements
The first author and the third author have learned many-body Schrödinger models and related background during their postdoc careers at the University of Maryland. Thus they highly appreciate Professor M. Grillakis, Professor M. Machedon and Dr. J. Chong for related discussions, especially the paper [20] of Hong.
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Articles in the same Issue
- Frontmatter
- Square-integrable representations and the coadjoint action of solvable Lie groups
- Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices
- Nef vector bundles on a hyperquadric with first Chern class two
- Scaling spectrum of a class of self-similar measures with product form on ℝ
- Idempotent decomposition of regularity and characterization for the accumulation of associated spectrum
- Geodesic orbit Randers metrics in homogeneous bundles over generalized Stiefel manifolds
- Proof of some conjectures of Guo and of Tang
- On Absolute and Quantitative Subspace Theorems
- Birational equivalence of the Zassenhaus varieties for basic classical Lie superalgebras and their purely-even reductive Lie subalgebras in odd characteristic
- Geometric approach to the Moore–Penrose inverse and the polar decomposition of perturbations by operator ideals
- The Weil bound for generalized Kloosterman sums of half-integral weight
- Relative Rota–Baxter groups and skew left braces
- Asai gamma factors over finite fields
- Representations of non-finitely graded Lie algebras related to Virasoro algebra
- Multiple solutions for fractional elliptic systems
- Arithmetic Bohr radius for the Minkowski space
- On Strichartz estimates for many-body Schrödinger equation in the periodic setting