Analogue of Tricomi problem for characteristically loaded hyperbolic-parabolic equation with variable coefficients

K. U. Khubiev

Ufa mathematical journal, Tome 9 (2017) no. 2, pp. 92-101

Résumé

In the work we study an analogue of Tricomi problems for characteristically loaded hyperbolic-parabolic equations with variable coefficients. We prove the unique solvability of the studied problem. The uniqueness of the solutions is proved by means of the maximum principle, while the existence is established by the method of integral equations.

Détail

Keywords: loaded equations, mixed equations, Tricomi problem, boundary value problem.
Mots-clés : hyperbolic-parabolic equations

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