\(C^1\)-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions. (Q2897370)
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scientific article; zbMATH DE number 6054239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^1\)-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions. |
scientific article; zbMATH DE number 6054239 |
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10 July 2012
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Nemytskij operator
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Sobolev space
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travelling wave
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smoothness
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math.FA
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\(C^1\)-smoothness of Nemytskii operators on Sobolev-type spaces of periodic functions. (English)
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The paper deals with smoothness of the Nemytskii superposition operators associated with travelling wave models. These operators are considered in Sobolev-type spaces of periodic functions which are rather nontraditional in this field. Thus the main novelty consists just of the consideration of such function spaces.
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0.7681370973587036
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0.752835750579834
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0.7509576678276062
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0.7496120929718018
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0.7496120929718018
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