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.
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\textbf{Keywords}: Frobenius theorem, Jacobi`s integrability condition, Rademacher theorem, Lipschitz analysis, partial differential equation. |
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