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arXiv · 1208.6510

Differentiable mappings on products with different degrees of differentiability in the two factors

Hamza Alzaareer·Alexander Schmeding
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Abstract

We develop differential calculus of $C^{r,s}$-mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations in Banach spaces depending on a parameter in a locally convex space. Under suitable assumptions, the associated flows are mappings of class $C^{r,s}$.

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Hamza Alzaareer, Alexander Schmeding. 2012-08-31. Differentiable mappings on products with different degrees of differentiability in the two factors. https://doi.org/10.1016/j.exmath.2014.07.002

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