Existence and uniqueness of classical paths under quadratic potentials

Kazuki Narita; Tohru Ozawa

doi:10.1007/s00526-020-01791-9

Existence and uniqueness of classical paths under quadratic potentials

Kazuki Narita, Tohru Ozawa^*

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Minimization problem on the action given by the Lagrangean is studied on the tangent bundle over a real Hilbert space. The existence of minimizers is proved by a compactness argument. The uniqueness of classical paths is proved under quadratic potentials.

Original language	English
Article number	128
Journal	Calculus of Variations and Partial Differential Equations
Volume	59
Issue number	4
DOIs	https://doi.org/10.1007/s00526-020-01791-9
Publication status	Published - 2020 Aug 1

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Existence and uniqueness of classical paths under quadratic potentials",

abstract = "Minimization problem on the action given by the Lagrangean is studied on the tangent bundle over a real Hilbert space. The existence of minimizers is proved by a compactness argument. The uniqueness of classical paths is proved under quadratic potentials.",

author = "Kazuki Narita and Tohru Ozawa",

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Existence and uniqueness of classical paths under quadratic potentials

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