A Modified Cauchy Problem With Nonlocal Boundary Condition for a Degenerate Hyperbolic Equation

被引：0
|
作者：
Kakharman, N. [1 ,2 ,3 ]
Kalmenov, T. sh. [1 ]
机构：
[1] Inst Math & Math Modeling, Alma Ata, Kazakhstan
[2] SDU Univ, Fac Engn & Nat Sci, Kaskelen, Kazakhstan
[3] Al Farabi Kazakh Natl Univ, Fac Mech & Math, Alma Ata, Kazakhstan
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年
关键词：
hyperbolic equation with characteristic degeneration; modified Cauchy problem; nonlocal boundary condition;
D O I：
10.1002/mma.10800
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new class of initial-boundary value problems with nonlocal conditions on the Newton potential for the case of a hyperbolic equation with characteristic degeneration were set and studied. The a priori estimates of Sobolev norms for the solutions are established. Moreover, some estimates for the standard Bessel functions were established.
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页数：7
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