On the sobolev class of a composite function

Dennis D. Cox; Finbarr O’sullivan

doi:10.1090/S0002-9939-1994-1203980-7

On the sobolev class of a composite function

Dennis D. Cox
, Finbarr O’sullivan

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that the Sobolev class of a function of the form is the same as the Sobolev class of θ, for sufficiently smooth H. This result has applications in a perturbation analysis of a nonlinear system of differential equations considered elsewhere.

Original language	English
Pages (from-to)	727-732
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	122
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1994-1203980-7
Publication status	Published - Nov 1994
Externally published	Yes

Keywords

Composite function
Sobolev norm

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10.1090/S0002-9939-1994-1203980-7

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title = "On the sobolev class of a composite function",

abstract = "It is shown that the Sobolev class of a function of the form is the same as the Sobolev class of θ, for sufficiently smooth H. This result has applications in a perturbation analysis of a nonlinear system of differential equations considered elsewhere.",

keywords = "Composite function, Sobolev norm",

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year = "1994",

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AU - O’sullivan, Finbarr

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AB - It is shown that the Sobolev class of a function of the form is the same as the Sobolev class of θ, for sufficiently smooth H. This result has applications in a perturbation analysis of a nonlinear system of differential equations considered elsewhere.

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KW - Sobolev norm

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DO - 10.1090/S0002-9939-1994-1203980-7

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

On the sobolev class of a composite function

Abstract

Keywords

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