On stability of non-inflectional elastica
Comptes Rendus. Mécanique, 2020 This study considers the stability of a non-inflectional elastica under a conservative end force subject to the Dirichlet, mixed, and Neumann boundary conditions.
Batista, Milan
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Boundary Value Problems for the Helmholtz Equation for a Half-plane with a Lipschitz Inclusion [PDF]
, 2018 This paper considers to the problems of diffraction of electromagnetic waves on a half-plane, which has a finite inclusion in the form of a Lipschitz curve. The diffraction problem formulated as boundary value problem for Helmholtz equations and boundary
Lipachev, E.
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Vacuum Energy and Renormalization on the Edge
, 2007 The vacuum dependence on boundary conditions in quantum field theories is analysed from a very general viewpoint. From this perspective the renormalization prescriptions not only imply the renormalization of the couplings of the theory in the bulk but ...
Affleck I +17 more
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On the Solvability of Discrete Nonlinear Two-Point Boundary Value Problems
International Journal of Mathematics and Mathematical Sciences, 2012 We prove the existence and uniqueness of solutions for a family of discrete boundary value problems by using discrete's Wirtinger inequality. The boundary condition is a combination of Dirichlet and Neumann boundary conditions.
Blaise Kone, Stanislas Ouaro
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On the asymptotic shape of solutions to Neumann problems for non-cooperative parabolic systems
, 2014 We consider a class of nonautonomous parabolic competition-diffusion systems on bounded radial domains under Neumann boundary conditions. We show that, if the initial profiles satisfy a reflection inequality with respect to a hyperplane, then global ...
Saldaña, Alberto, Weth, Tobias
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On a Waveguide with Frequently Alternating Boundary Conditions: Homogenized Neumann Condition [PDF]
Annales Henri Poincaré, 2010 We consider a waveguide modeled by the Laplacian in a straight planar strip. The Dirichlet boundary condition is taken on the upper boundary, while on the lower boundary we impose periodically alternating Dirichlet and Neumann condition assuming the period of alternation to be small. We study the case when the homogenization gives the Neumann condition
Borisov D, Bunoiu R, Cardone G.
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Cone holography with Neumann boundary conditions and brane-localized gauge fields
Journal of High Energy PhysicsCone holography is a codimension-n doubly holographic model, which can be interpreted as the holographic dual of edge modes on defects. The initial model of cone holography is based on mixed boundary conditions. This paper formulates cone holography with
Zheng-Quan Cui, Yu Guo, Rong-Xin Miao
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Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains
Journal of Taibah University for Science, 2019 In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed.
G. M. Bahaa, S. Khidr
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Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
, 2017 We consider a parabolic problem with degeneracy in the interior of the spatial domain and Neumann boundary conditions. In particular, we will focus on the well-posedness of the problem and on Carleman estimates for the associated adjoint problem.
Boutaayamou, Idriss +2 more
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Solving the geodesics on the ellipsoid as a boundary value problem
Journal of Geodetic Science, 2013 The geodesic between two given points on an ellipsoid is determined as a numerical solution of a boundary value problem. The secondorder ordinary differential equation of the geodesic is formulated by means of the Euler-Lagrange equation of the calculus ...
Panou G., Delikaraoglou D., Korakitis R.
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