Published
2024-07-09
The paper considers an initial boundary value problem for a one-dimensional Boussinesq-type equation in a degenerate region representing a triangle. Using the methods of the theory of monotone operators and a priori estimates, theorems on their unambiguous weak solvability in Sobolev classes are established. A theorem on increasing the smoothness of a weak solution is established.
Boussinesq type equation, Degenerate domain, Weak solution
How to Cite
BOUNDARY VALUE PROBLEM FOR A BOUSSINESQ-TYPE EQUATION IN A TRIANGLE. (2024). Scientific Journal "Bulletin of the K. Zhubanov Aktobe Regional University", 68(2). https://vestnik.arsu.kz/index.php/hab/article/view/218