Summary
The explicit solution of a particularCauchy problem for the n-dimensionalEuler-Poisson-Darboux equation is found. To obtain the solution the method ofM. Riesz is extended to include non self-adjoint equations. Existence and uniqueness are shown.
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This research was supported in part by the United States Air Force under Contract No. AF18(600)-573 — monitored by the Office of Scientific Research, Air Research and Development Command.
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Davis, R.M. On a regular cauchy problem for the Euler-Poisson-Darboux equation. Annali di Matematica 42, 205–226 (1956). https://doi.org/10.1007/BF02411877
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DOI: https://doi.org/10.1007/BF02411877