A Modified Cauchy Problem With Nonlocal Boundary Condition for a Degenerate Hyperbolic Equation
Kakharman N. Kalmenov T.S.H.
30 May 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 89313 - 9319 pp.
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.
hyperbolic equation with characteristic degeneration , modified Cauchy problem , nonlocal boundary condition
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Faculty of Engineering and Natural Sciences, SDU University, Kaskelen, Kazakhstan
Faculty of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Faculty of Engineering and Natural Sciences
Faculty of Mechanics and Mathematics
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