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^*

^*この研究の対応する著者

先進理工学部

研究成果: Article › 査読

1 被引用数 (Scopus)

抄録

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.

本文言語	English
論文番号	128
ジャーナル	Calculus of Variations and Partial Differential Equations
巻	59
号	4
DOI	https://doi.org/10.1007/s00526-020-01791-9
出版ステータス	Published - 2020 8月 1

ASJC Scopus subject areas

分析
応用数学

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10.1007/s00526-020-01791-9

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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",

note = "Publisher Copyright: {\textcopyright} 2020, Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2020",

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doi = "10.1007/s00526-020-01791-9",

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Existence and uniqueness of classical paths under quadratic potentials

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