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A classical solution weakened on the axis for a mixed problem of inhomogeneous hyperbolic equations. (English) Zbl 1043.35047

The paper refers to the mixed problem for a three-dimensional inhomogeneous hyperbolic equation of even order, having continuous coefficients with bounded derivatives. One states sufficient conditions on the initial functions and forcing term for the existence of the weakened on the axis classical solution.

MSC:

35D05 Existence of generalized solutions of PDE (MSC2000)
35L35 Initial-boundary value problems for higher-order hyperbolic equations
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