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Estimates of Heat Kernels with Neumann Boundary Conditions
Potential Analysis, 2012This paper is concerned with two-sided estimates for the heat kernels corresponding to general elliptic operators of the form \(Lu=\frac{1}{2}\nabla\cdot(A\nabla u)+b\cdot \nabla u-\nabla(\hat bu)+qu\) in a bounded domain \(D\subset \mathbb R^N\) subject to Robin boundary conditions: \(\frac{1}{2}\langle A\nabla u,n\rangle-\langle \hat b,n\rangle u=0\)
Zhang, Tusheng, Yang, Xue
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On the Plane Neumann Problem with Generalized Boundary Conditions
Differential Equations, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The stability of the Dirichlet and Neumann boundary conditions
Reports on Mathematical Physics, 1986We investigate the stability of the Dirichlet and Neumann boundary conditions under the influence of an additive short range potential. We find that the Dirichlet boundary condition is stable while the Neumann boundary condition is not.
Englisch, H., Šeba, P.
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Neumann, Fourier and Mixed Boundary Conditions
2018The GDM and its analysis are adapted here to cope with Neumann, Fourier and mixed boundary conditions. Properties of trace operators are detailed.
Jérôme Droniou +4 more
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Interface evolution with Neumann boundary condition
Hokkaido University Preprint Series in Mathematics, 1992Summary: We prove a comparison theorem for viscosity solutions of singular degenerate parabolic equations with Neumann boundary condition in a convex bounded domain. We also construct viscosity solutions for the Neumann problem in not necessarily convex domain. We apply our theorem to construct a global generalized evolution for interface equation with
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Small sets for Neumann boundary conditions
Mathematische Nachrichten, 2008AbstractFor an open set D ⊆ ℝn and a relatively closed subset E ⊆ D of Lebesgue measure zero, we investigate conditions for the property that Brownian motion with reflexion at the boundary on D and D \ E are the same. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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Decomposition Solutions for Neumann Boundary Conditions
1994For simplicity, consider a linear differential equation Lu + Ru = g where L = d2/dx2 (and R can involve no differentiations higher than first-order).
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