Talk:Cauchy problem

WikiProject Mathematics (Rated Start-class, Mid-importance)
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Mathematics rating:
 Start Class
 Mid Importance
Field: Analysis

Do you think this article should include a simpler description? I.e. it should mention the existence of solutions for familiar differential equations (R -> R, Vector equations...)

It would be nice if this article were to explain itself in simpler language. To someone without a degree in mathematics it is very difficult to understand. Can someone include practical examples and an account of the significance?218.208.222.135 03:47, 19 November 2006 (UTC)

Is there any reason that the conditions could not be written more succinctly as {\displaystyle {\begin{aligned}{\frac {\partial ^{m}u(x)}{\partial n^{m}}}&=f_{m}(x)\qquad &&{\text{for }}m=0,\ldots ,\kappa -1{\text{ and all }}x\in S,\end{aligned}}}? Dewa (talk) 00:56, 6 June 2008 (UTC)

I have just came to notice that in the "Formal Statement" section the symbol ${\displaystyle n}$ is used for both the physical dimension and the normal vector. Two different symbols should be used to avoid confusion. Furthermore, it seems that the normal vector is not present in the equations for the Cauchy problem stated in that section, so this should be corrected. 2001:700:300:1470:6DB9:663:8EC7:F306 (talk) 10:33, 11 March 2015 (UTC)F