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April, 2019 Estimations for the Action Functional of the $N$-body Problem by Recursive Binary Decompositions
Kuo-Chang Chen
Taiwanese J. Math. 23(2): 503-514 (April, 2019). DOI: 10.11650/tjm/181008

Abstract

In this paper, we improve estimations in a previous work [3] (Arch. Rat. Mech. Anal. 2003) about estimations for the action functional of the $N$-body problem. Our method is based on repeated applications of binary decompositions for the $N$-body system, and is applicable to more general particle systems.

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Kuo-Chang Chen. "Estimations for the Action Functional of the $N$-body Problem by Recursive Binary Decompositions." Taiwanese J. Math. 23 (2) 503 - 514, April, 2019. https://doi.org/10.11650/tjm/181008

Information

Received: 7 May 2018; Revised: 1 October 2018; Accepted: 8 October 2018; Published: April, 2019
First available in Project Euclid: 22 October 2018

zbMATH: 07055579
MathSciNet: MR3936010
Digital Object Identifier: 10.11650/tjm/181008

Subjects:
Primary: 70F10

Keywords: $n$-body problem , variational method

Rights: Copyright © 2019 The Mathematical Society of the Republic of China

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Vol.23 • No. 2 • April, 2019
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