Mathematical Methods in the Applied Sciences · 2015 · 19 citations · 8 references
Natural SciencesMathematics EducationFinite Element AnalysisBoundary ConditionsBoundary-value ProblemsIntegral Equation FormulationsIntegral EquationsPath Integral FormulationBoundary Integral ConditionsBoundary Integral Equation FormulationsBoundary Integral EquationsBoundary Value Path IntegralsRiemann - Hilbert ProblemsRiemann-hilbert Problems
We introduce and study certain distributions generalizing the operation of curvilinear integration for the case where the path of integration is not rectifiable. Then we apply that distributions for solving of boundary value problems of Riemann—Hilbert type in domains with non‐rectifiable boundaries. Copyright © 2015 John Wiley & Sons, Ltd.
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The Gauss-Green theorem for fractal boundaries
Jenny Harrison, Alec Norton · Duke Mathematical Journal · 1992 · 121 citations · Full text