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The Kato square root problem for mixed boundary value problems

Axelsson, Andreas; Keith, Stephen; McIntosh, Alan

Description

We solve the Kato square root problem for second order elliptic systems in divergence form under mixed boundary conditions on Lipschitz domains. This answers a question posed by Lions in 1962. To do this we develop a general theory of quadratic estimates

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
URI: http://hdl.handle.net/1885/23830
Source: Journal of the London Mathematical Society
DOI: 10.1112/S0024610706022873

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