Higher-order fundamental solutions of second-order wave equations on a curved spacetime

Physics

Scientific paper

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Scientific paper

Higher-order fundamental solutions are defined as the distributions that satisfy the wave equations with inhomogeneous terms which are point distributions of the corresponding order. Starting from the Hadamard fundamental solution, the construction of the local higher-order fundamental solutions of the covariant scalar wave equation on a causal domain is considered. A simple recurrent algorithm for calculating such solutions is found.

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