Sbornik Mathematics · 2009 · 16 citations · 9 references
Natural SciencesPhysicsComputational GeometryBoundary ConditionsBoundary-value ProblemsPartial Differential EquationsDirichlet Boundary ConditionsDirichlet ProblemsDirichlet ProcessesElliptic Boundary-value ProblemsLipschitz ConditionsRiemann-hilbert Problems
Connections between the boundary behaviour of polyanalytic functions and the structure of the boundary are investigated. In particular, a Jordan domain with Lipschitz boundary is constructed which is regular for the Dirichlet problem in the class of bianalytic functions. Bibliography: 14 titles.
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Peter W. Jones, John B. Garnett · American Mathematical Monthly · 1982 · 3.6K citations
<i>Theory of Functions of a Complex Variable</i>
A. I. Markushevich, Richard A. Silverman, J. Gillis · Physics Today · 1966 · 1.2K citations