In this paper the following mixed type problem Utt= Aut+ b(x, t, u, Uz, Uzz, Uxt, Ut) with certain initial and boundary conditions in n-dimensional space is studied, where A is a general elliptic linear operator. The existence, uniqueness and continuous dependence of the solution are demonstrated under the appropriate assumptions.
|Number of pages||8|
|Journal||Differential and Integral Equations|
|Publication status||Published - 1 Jan 1991|
ASJC Scopus subject areas
- Applied Mathematics