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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We express our deep gratitude to a referee for a number of valuable suggestions which helped us to improve the exposition.
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Communicated by A. Laptev.
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Maz’ya, V., Shaposhnikova, T. Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains. Bull. Math. Sci. 1, 33–77 (2011). https://doi.org/10.1007/s13373-011-0003-6
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DOI: https://doi.org/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