Euler–Poisson–Darboux equation

In mathematics, the Euler–Poisson–Darboux^[1] equation is the partial differential equation

u_{x,y}+{\frac {N(u_{x}+u_{y})}{x+y}}=0.

This equation is named for Siméon Poisson, Leonhard Euler, and Gaston Darboux. It plays an important role in solving the classical wave equation.

References

↑ Zwillinger, D. (1997). Handbook of Differential Equations 3rd edition. Academic Press, Boston, MA.

External links

Moroşanu, C. (2001) [1994], "Euler–Poisson–Darboux equation", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer Science+Business Media B.V. / Kluwer Academic Publishers, ISBN 978-1-55608-010-4

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