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Existence and uniqueness of classical paths under quadratic potentials - MaRDI portal

Existence and uniqueness of classical paths under quadratic potentials (Q786074)

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scientific article; zbMATH DE number 7233414
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Existence and uniqueness of classical paths under quadratic potentials
scientific article; zbMATH DE number 7233414

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    Existence and uniqueness of classical paths under quadratic potentials (English)
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    12 August 2020
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    A 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.
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    minimization problem
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    Lagrangean
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