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Jean-Claude Kiik: Matching Conditions for the Laplace and squared Laplace Operator on a Y-graph

Time: Wed 2014-11-12 15.15 - 16.15

Location: Room 22, building 5, Kräftriket, Department of mathematics, Stockholm university

Supervisor: Pavel Kurasov

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The Laplace operator and squared Laplace operator on a branching graph are studied. Boundary conditions connecting three functions at a vertex are determined. It is shown that in general the boundary conditions are linear relationships between derivatives of the same degree.