On smoothness of a fundamental solution to a second order hyperbolic equation |
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Authors: | V G Romanov |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk, Russia |
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Abstract: | We consider the problem of constructing a fundamental solution to a second order hyperbolic linear equation with variable coefficients depending on the space variable x ∈ ? n . Under the assumption of high but finite smoothness of the coefficients, we write out the structure of a fundamental solution, establish smoothness of the coefficients of the expansion of its singular part, and characterize smoothness of the regular part. |
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Keywords: | fundamental solution second order hyperbolic equation smoothness of solutions |
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