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ABSTRACT The wave equation in the cone is shown to have a unique solution if u and its partial derivatives in x are in on the cone, and the solution… Click to show full abstract
ABSTRACT The wave equation in the cone is shown to have a unique solution if u and its partial derivatives in x are in on the cone, and the solution can be explicit given in the Fourier series of orthogonal polynomials on the cone. This provides a particular solution for the boundary value problems of the non-homogeneous wave equation on the cone, which can be combined with a solution to the homogeneous wave equation in the cone to obtain the full solution.
Keywords:
solution;
homogeneous wave;
equation cone;
wave equation
Journal Title: Integral Transforms and Special Functions
Year Published: 2021
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Journal Title: Integral Transforms and Special Functions
Year Published: 2021
Link to full text (if available)
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recommendations!