The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients
نویسندگان
چکیده
منابع مشابه
The Connections between Dirichlet, Regularity and Neumann Problems for Second Order Elliptic Operators with Complex Bounded Measurable Coefficients
The present paper discusses the relations between regularity, Dirichlet, and Neumann problems. Among other results, we prove that the solvability of the regularity problem does not imply the solvability of the dual Dirichlet problem for general elliptic operators with complex bounded measurable coefficients. This is strikingly different from the case of real operators, for which such an implica...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2010
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.04.019