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- W2092598716 abstract "where in the EPD equation (1.1) it is understood that Au= EJ=1 u_ixi and k is a parameter, -oo < k < oo. We designate a solution of Lk[u]=O by U(k)(X, t), writing x in place of xi, * , x.. While particular results for this famous equation go back to Poisson and even to Euler, a systematic investigation of the Cauchy problem covering all values of k and m is of recent date. The results may be summarized as follows. (i) If k = m -1, the solution, as given explicitly by Asgeirsson [1], is" @default.
- W2092598716 created "2016-06-24" @default.
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- W2092598716 date "1954-01-01" @default.
- W2092598716 modified "2023-10-03" @default.
- W2092598716 title "The Euler-Poisson-Darboux equation in the exceptional cases" @default.
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- W2092598716 doi "https://doi.org/10.1090/s0002-9939-1954-0063543-0" @default.
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