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

By Hamza Alzaareer, Alexander Schmeding. 2012

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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 $C^{r,s}$.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d0dabc970644758589c3f1940a58619e69e72bca