Existence and uniqueness of classical paths under quadratic potentials

Kazuki Narita, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Article number128
JournalCalculus of Variations and Partial Differential Equations
Issue number4
Publication statusPublished - 2020 Aug 1

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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