Well-Posedness of a Mixed Problem in a Cylindrical Domain for One Class of Multidimensional Hyperbolic-Parabolic Equations

被引：0
作者：
Aldashev, S. A. [1 ]
机构：
[1] Abai Kazakhstan Natl Pedag Univ, Alma Ata, Kazakhstan
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2020年 / 72卷 / 02期
关键词：
D O I：
10.1007/s11253-020-01783-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the unique solvability and obtain the explicit expression for the classical solution of mixed problem in a cylindrical domain for one class of multidimensional hyperbolic-parabolic equations.
引用
收藏
页码：317 / 326
页数：10
相关论文
共 12 条
[1]  
Aldashev S. A., 1998, DIFF URAVN, V34, P64
[2]  
Aldashev S. A., 2017, UKR MAT ZH, V69, p[992, 1154]
[3]  
Aldashev S. A., 2013, UKRAINSKII MATEMATIC, V10, P147
[4]  
Bateman H., 1954, Higher Transcendental Functions, Tables of Integral Transforms, Vvol. I
[5]  
Friedman A., 1964, Partial differential equations of parabolic type
[6]  
Kamke E., 1959, GEWOHNLICHE DIFFEREN
[7]  
Kolmogorov A.N., 1976, ELEMENTS THEORY FUNC
[8]  
Ladyzhenskaya O. A., 1953, Mixed Problem for Hyperbolic Equation
[9]  
Ladyzhenskaya OlgaA., 1973, The Boundary Value Problems of Mathematical Physics
[10]  
MIKHLIN S, 1962, MULTIDIMENSIONAL SIN
12