A general existence and uniqueness theorem for degenerate elliptic Bellman equations in bounded domains is proved. Functional classes C2+α(D) and C1, 1(D) are the classes where solutions are looked for. This theorem has a very broad range of applicability. Equations ut = uxx and Pm(uxx) = ck(x)Pk(uxx), where Pk(uxx) is the kth elementary symmetric polynomial of eigenvalues of the matrix uxx are particular cases of equations under consideration.
|Original language||English (US)|
|Number of pages||20|
|Journal||Differential and Integral Equations|
|State||Published - May 1995|