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 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), "Euler–Poisson–Darboux equation", in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4