BOUNDARY VALUE PROBLEM FOR A BOUSSINESQ-TYPE EQUATION IN A TRIANGLE

Published 2024-07-09
PHYSICS-MATHEMATICS Vol. 68 No. 2 (2022)
№2 (2022)
Authors:
  • M.T. GENALIEV
  • A.S. KASYMBEKOVA
  • M.G. ERGALIEV
PDF (Russian)

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

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