Calculus of variations and optimal control; optimization Basic notions of the calculus of variations Concept
Admissible function
Summary
An admissible function of a variational problem is a function that is allowed to compete for the minimum. It must lie in the domain of the functional and satisfy every constraint of the problem, such as boundary values or a fixed length. The set of admissible functions fixes the problem as much as the functional does: a change of the class can change whether a minimiser exists.
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| Tag | G7T008BEWY |
|---|---|
| URI | m2://G7T008BEWY |
| Kind | concept |
| Writing | W0 stub |
| MSC | 49K05, 49J05 |
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Used by
- Weak and strong extremum
- Isoperimetric problem of the calculus of variations
- Natural boundary condition