Well-Posedness of the Dirichlet and Poincar, Problems for the Wave Equation in a Many-Dimensional Domain

被引:0
作者
Aldashev, S. A. [1 ]
机构
[1] Aktyubinsk Univ, Aktobe, Kazakhstan
关键词
Integral Equation; Wave Equation; Dirichlet Problem; Hyperbolic Equation; Singular Integral Equation;
D O I
10.1007/s11253-015-1033-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We determine a many-dimensional domain in which the Dirichlet and Poincar, problems for the wave equation are uniquely solvable.
引用
收藏
页码:1582 / 1588
页数:7
相关论文
共 15 条
[1]  
Aldashev S., 1994, BOUNDARY VALUE PROBL
[2]  
Aldashev S. A., 2011, Dokl. AMAN, Nalchik, V13, P21
[3]  
Aldashev S. A., 2011, J MATH SCI, V173, P150, DOI [10.1007/s10958-011-0236-7, DOI 10.1007/S10958-011-0236-7]
[4]   The Well-Posedness of the Dirichlet Problem in the Cylindric Domain for the Multidimensional Wave Equation [J].
Aldashev, Serik A. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2010, 2010
[5]  
[Anonymous], 1902, PRINCETON U B
[6]  
BATEMAN H, 1954, HIGHER TRANSCENDENTA, V2
[7]  
Bitsadze A.V., 1959, A Pergamon Press Book
[8]  
Bourgin D. G., 1939, B AM MATH SOC, V45, P851, DOI DOI 10.1090/S0002-9904-1939-07103-6
[9]  
COPSON ET, 1958, ARCH RATION MECH AN, V1, P324
[10]  
DUNNINGER DR, 1969, J MATH MECH, V18, P763