Complex Variables and Elliptic Equations · 2009 · 12 citations · 5 references
Numerical AnalysisMonge-ampere EquationElliptic EquationMethod Of Fundamental SolutionRiemann-hilbert ProblemFree Boundary ProblemSchwarz Boundary ConditionsHigher Order EquationsUpper Half PlaneBoundary Element MethodExplicit Representations
Explicit representations for the solution of higher order equations are obtained for Dirichlet boundary conditions and Schwarz boundary conditions in the upper half plane. We also investigate a mixed boundary value problem for the inhomogeneous polyanalytic equation.
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