C¹-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions
classification
🧮 math.FA
keywords
operatorsdynamicsfunctionsnemytskiiperiodicsobolev-typespaceschemical
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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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