Special Session 12: 

Non-Smooth Frobenius` Theorem

Yuhki Hosoya
Faculty of Economics, Chuo University
Japan
Co-Author(s):    
Abstract:
This paper studies a extension of Frobenius theorem with not differentiable but Lipschitz environment. We use Rademacher`s theorem and extended existence theorem of a partial differential equation to construct contour hypersurfaces, and recover the solution function by using these structure. \vspace{12pt} \noindent \textbf{Keywords}: Frobenius theorem, Jacobi`s integrability condition, Rademacher theorem, Lipschitz analysis, partial differential equation.