Showing math.APShow all
2 papers · 1 filter
math.AP2018
A generalization of an integrability theorem of Darboux
Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan
In his monograph "Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. Principes de géométrie analytique", 1910, Darboux stated three theorems providing local existe…
math.AP2017
On Two Theorems of Darboux
Michael Benfield, Helge Kristian Jenssen, Irina A. Kogan
We provide precise formulations and proofs of two theorems from Darboux's lectures on orthogonal systems. These results provide local existence and uniqueness of solutions to certa…