Abstract
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.
Original language | English |
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Pages (from-to) | 639-646 |
Number of pages | 8 |
Journal | Differential and Integral Equations |
Volume | 4 |
Issue number | 3 |
Publication status | Published - 1 Jan 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics