Apologise: Higher Order
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Higher Order Video
Higher Order DerivativesAriel Barton, Svitlana Mayboroda.
Recent years have brought significant advances in the theory of higher-order elliptic equations in non-smooth domains. Sharp pointwise estimates on derivatives of polyharmonic functions in arbitrary domains were established, followed by the higher-order Wiener test. Certain Higher Order value problems for higher-order operators with variable non-smooth coefficients were addressed, both in divergence form and in composition form, the source being adapted to the context of Lipschitz domains.
These developments brought new estimates on the fundamental solutions and the Green function, allowing for the lack of smoothness of the boundary or of the coefficients of the equation. Building on Highre earlier account of history of the subject published in Concrete operators, spectral Higher Order, operators in harmonic analysis and approximation.
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Operator Theory: Advances and Applications, vol. Higher-order elliptic equations in non-smooth domains : A partial survey. Sloan Fellowship.
N2 - Recent years have brought significant advances in the theory of higher-order elliptic equations in non-smooth domains. AB - Recent years have Higher Order significant advances in the theory of higher-order elliptic equations in non-smooth domains.
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Higher-order elliptic equations in non-smooth domains: A partial survey. Overview Fingerprint. Abstract Recent years have brought significant advances in the theory of higher-order elliptic equations in non-smooth domains. Keywords Biharmonic equation Dirichlet problem General domains Higher-order equation Lipschitz domain Maximum principle Neumann problem Polyharmonic equation Regularity problem Wiener criterion.
Higher Order
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Access Link to publication in Scopus. Link to the citations in Scopus. Nonsmooth Domains Mathematics. In Association for Women in Mathematics Series pp. Association for Women in Mathematics Series; Vol. Association for Women in Mathematics Series.]
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