Surface to surface changes of variables and applications

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Surface to surface changes of variables and applications

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/5759

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Title: Surface to surface changes of variables and applications
Author: Brewster, Kevin, 1982-
Date: 2008
Publisher: University of Missouri--Columbia
Abstract: The present thesis addresses a number of basic problems in relation to integration over surfaces in the Euclidean space, such as how the surface measure and unit normal changes under a smooth diffeomorphism how the integration process is affected by a surface to surface change of variables. We provide precise answers to these and other related issues, and discuss a number of applications, such as the invariance of Lebesgue and Sobolev spaces on surfaces..
URI: http://hdl.handle.net/10355/5759
Other Identifiers: BrewsterK-050508-T9286

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