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Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains

DOI: 10.1007/s13373-011-0003-6

Keywords: Higher order elliptic equations,Higher order elliptic systems,Besov spaces,BMO,VMO,Lipschitz graph domains,Green’s function,Asymptotic behaviour of solutions,Primary 35G15,35J55,Secondary 35J67,35E05

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Abstract:

This is a survey of results mostly relating elliptic equations and systems of arbitrary even order with rough coefficients in Lipschitz graph domains. Asymptotic properties of solutions at a point of a Lipschitz boundary are also discussed.

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