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.
|ジャーナル||Calculus of Variations and Partial Differential Equations|
|出版ステータス||Published - 2020 8 1|
ASJC Scopus subject areas
- Applied Mathematics