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arXiv · 1107.4484

$C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions

Irina Kmit
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Abstract

We consider a class of Nemytskii superposition operators that covers the nonlinear part of traveling wave models from laser dynamics, population dynamics, and chemical kinetics. Our main result is the $C^1$-continuity property of these operators over Sobolev-type spaces of periodic functions.

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Irina Kmit. 2011-07-22. $C^1$-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions. https://arxiv.org/abs/1107.4484

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