Euler–Poisson–Darboux equation

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

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

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

References

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

External links

• Moroşanu, C. (2001), "Euler–Poisson–Darboux equation", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4