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

2017 ◽  
Vol 9 (2) ◽  
pp. 92-101
Author(s):  
Kazbek Uzeirovich Khubiev
Keyword(s):  
Parabolic Equation ◽  
Variable Coefficients ◽  
Tricomi Problem

scholarly journals On an analogue of the Tricomi problem for a «pointwise» loaded hyperbolic-parabolic equation

2021 ◽  
pp. 29-39
Author(s):  
К.У. Хубиев
Keyword(s):  
Parabolic Equation ◽  
Fixed Points ◽  
Unique Solvability ◽  
Existence And Uniqueness ◽  
Sufficient Conditions ◽  
Tricomi Problem ◽  
Uniqueness Of Solutions

Для нагруженного уравнения гиперболо-параболического типа исследуется однозначная разрешимость аналога задача Трикоми. Нагрузка определена в фиксированных точках области искомых решений, в том числе и во внутренних точках. Найдены условия существования и единственности регулярного решения задачи. The unique solvability of an analogue of the Tricomi problem is investigated for a loaded hyperbolic-parabolic equation. The load is determined at boundary and interior fixed points of the domain in which the solutions are sought. Sufficient conditions are found for the existence and uniqueness of solutions.

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