Abstract
Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.
| Original language | English |
|---|---|
| Pages (from-to) | 31-42 |
| Number of pages | 12 |
| Journal | Journal of Global Optimization |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - May 2008 |
| Externally published | Yes |
Keywords
- Conjugate function
- Conjugate mappings
- Duality
- Multivalued
- Subdifferential
- Sufficient conditions