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Laplace Equation with Mixed Boundary Conditions
2017So far, we have said almost nothing about the basic Dirichlet and Neumann boundary-value problems for equations of elliptic type, apart from the strong ellipticity example of Sect. 8.6.
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Heat kernel asymptotics for mixed boundary conditions
Classical and Quantum Gravity, 1992The author derives an asymptotic expansion for the heat kernel corresponding to a second-order elliptic differential operator acting on fields over manifolds with boundary for mixed boundary conditions.
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Mixed Boundary Conditions in Heat Conduction
2010In mixed boundary value (MBV) problems, the nature of the boundary condition can change along a particular boundary (finite, semi-infinite or infinite in length), say from a Dirichlet condition to a Neumann condition. Most MBV problems are solved using classical techniques such as separation of variables (domain of limited extent) or transform methods (
DE MONTE, FILIPPO, BECK JAMES V.
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Mixed boundary conditions in quantum field theory
Journal of Mathematical Physics, 1991When quantum field theory is formulated in terms of transition amplitudes between initial and final configurations, it is important to impose mathematically consistent boundary conditions on the fields. The choice of boundary conditions is also important when dealing with elliptic complexes and index theorems on bounded manifolds.
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Interpolation by splines satisfying mixed boundary conditions
Israel Journal of Mathematics, 1974We consider interpolation of Hermite data by splines of degreen withk given knots, satisfying boundary conditions which may involve derivatives at both end points (e.g., a periodicity condition). It is shown that, for a certain class of boundary conditions, a necessary and sufficient condition for the existence of a unique solution is that the data ...
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The Elastic Strip Under Mixed Boundary Conditions
Journal of Applied Mechanics, 1964Theocaris, P. S., Dafermos, K.
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Hilbert complexes with mixed boundary conditions part 1: de Rham complex
Mathematical Methods in the Applied Sciences, 2022Dirk Pauly
exaly

