Abstract
The Dirichlet problem for Bellman's equation in a plane domain is considered. It is proved that under certain restrictions regarding smoothness, "weak" nondegeneracy, and nondegeneracy along the normal to the boundary of the domain this problem has a generalized solution. Under additional conditions regarding smoothness the solution is also smooth. Bibliography: 2 titles.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 521-526 |
| Number of pages | 6 |
| Journal | Mathematics of the USSR - Sbornik |
| Volume | 34 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 30 1978 |