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

2025

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DOI 10.1002/mma.10800
Data confidence 70 medium
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Abstract

ABSTRACT 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.