Quantitative functional calculus in Sobolev spaces
In the frame work of Sobolev (Bessel potential) spaces Hn(Rd,R or C), we consider the nonlinear Nemytskij operator sending a function x∈Rd↦f(x) into a composite function x∈Rd↦G(f(x),x). Assuming sufficient smoothness for G, we give a “tame” bound on the Hn norm of this composite function in terms of...
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Main Authors: | Carlo Morosi, Livio Pizzocchero |
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Format: | Article |
Language: | English |
Published: |
Wiley
2004-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2004/832750 |
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