Chain rules for nonsmooth functions
β Scribed by Doug Ward
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 904 KB
- Volume
- 158
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Ann. 159, 81α93 asserts that if the Jacobian matrix of a differentiable function from a closed rectangle K in R n into R n is a P-matrix at each point of K, then f is one-to-one on K. In this paper, by introducing the concepts of H-differentiabil-Ε½ . ity and H-differential of a function as a set of
We study the properties of superposition of Bounded Hessian functions, establishing the validity of a second-order chain rule. We prove rectifiability properties of all noncritical level sets of BH-functions by showing a geometric measure theory analogous of Dini's Theorem.