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H-measures, a new approach for studying homogenisation, oscillations and concentration effects in partial differential equations*

Published online by Cambridge University Press:  14 November 2011

Luc Tartar
Luc Tartar
Affiliation:
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213–3890, U.S.A.
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Synopsis

New mathematical objects, called H-measures, are introduced for studying oscillations and concentration effects in partial differential equations. Applications to transport properties and to homogenisation are given as an example of the new results which can be obtained by this approach.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 115 , Issue 3-4 , 1990 , pp. 193 - 230
Copyright
Copyright © Royal Society of Edinburgh 1990

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