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Highly Accurate Method for Boundary Value Problems with Robin Boundary Conditions [PDF]

Journal of Nonlinear Mathematical Physics, 2023
AbstractThe main aim of the current paper is to construct a numerical algorithm for the numerical solutions of second-order linear and nonlinear differential equations subject to Robin boundary conditions. A basis function in terms of the shifted Chebyshev polynomials of the first kind that satisfy the homogeneous Robin boundary conditions is ...
H. M. Ahmed
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Thin waveguides with Robin boundary conditions [PDF]

Journal of Mathematical Physics, 2012
We consider the Laplace operator in a thin three dimensional tube with a Robin type condition on its boundary and study, asymptotically, the spectrum of such operator as the diameter of the tube's cross section becomes infinitesimal. In contrast with the
Dautray R., Guy Bouchitté, Krejčiřík D., Luís Trabucho, Luísa Mascarenhas, Maso G. D.   +5 more
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Waveguides with combined Dirichlet and Robin boundary conditions [PDF]

Mathematical Physics, Analysis and Geometry, 2007
We consider the Laplacian in a curved two-dimensional strip of constant width squeezed between two curves, subject to Dirichlet boundary conditions on one of the curves and variable Robin boundary conditions on the other. We prove that, for certain types
Freitas, Pedro, Krejcirik, David
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Straight Quantum Waveguide with Robin Boundary Conditions [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2007
We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling.
Martin Jílek
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Weighted Hardy Type inequalities with Robin Boundary Conditions [PDF]

Discrete and Continuous Dynamical Systems - S, 2021
In this paper, we establish a general weighted Hardy type inequality for the $% p-$Laplace operator with Robin boundary condition. We provide various concrete examples to illustrate our results for different weights. Furthermore, we present some Heisenberg-Pauli-Weyl type inequalities with boundary terms on balls with radius $R$ at the origin in ...
İsmail Kömbe, Abdullah Serkan Yener
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Critical dense polymers with Robin boundary conditions, half-integer Kac labels and Z4 fermions

Nuclear Physics B, 2014
For general Temperley–Lieb loop models, including the logarithmic minimal models LM(p,p′) with p,p′ coprime integers, we construct an infinite family of Robin boundary conditions on the strip as linear combinations of Neumann and Dirichlet boundary ...
Paul A. Pearce, Jørgen Rasmussen, Ilya Yu. Tipunin   +2 more
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Boundary dynamics and multiple reflection expansion for Robin boundary conditions [PDF]

Physical Review D, 2001
In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (\nabla_N +S)\phi =0.
A. Sen, A. Sen, A.A. Tseytlin, D. V. Vassilevich, D.V. Vassilevich, D.V. Vassilevich, E. M. Santangelo, H. Falomir, I.G. Moss, J.S. Dowker, K. Bardakci, K. Kirsten, L. Randall, L. Randall, M. Bordag, M. Bordag, M. Bordag, M. Bordag, M. Bordag, P. Minces, P. Minces, P.B. Gilkey, R. Balian, R. Balian, R. Balian, S.M. Blinder, S.W. Hawking, T.H. Hansson, T.P. Branson, T.P. Branson, T.P. Branson, V. Mukhanov, V.A. Kostelecky, V.A. Rubakov, W. Kummer, W. Kummer, Y.V. Gusev   +36 more
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Maximal regularity for non-autonomous Robin boundary conditions [PDF]

Mathematische Nachrichten, 2015
We consider a non-autonomous Cauchy problem involving linear operators associated with time-dependent forms $a(t;.,.):V\times V\to {\mathbb{C}}$ where $V$ and $H$ are Hilbert spaces such that $V$ is continuously embedded in $H$.
Arendt, Wolfgang, Monniaux, Sylvie
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The hybrid spectral problem and Robin boundary conditions [PDF]

Journal of Physics A: Mathematical and General, 2005
The hybrid spectral problem where the field satisfies Dirichlet conditions (D) on part of the boundary of the relevant domain and Neumann (N) on the remainder is discussed in simple terms.
Apps J S, Avramidi I, Avramidi I, Bandle C, Bondurant J D Fulling S A, Bordag M, Branson T P, Branson T P, Carslaw H S, Cheeger J, Cook A, de Albuquerque L C, Dowker J S, Dowker J S, Dowker J S, Dowker J S, Dowker J S, Dowker J S, Falomir H Muschietti M A Pisani P A G Seeley R, Fulling S A, Gilkey P B, Gilkey P B, Gottlieb H P W, Grubb G, Grubb G, Grubb G, Grubb G, Grubb G, Gustafson K, Gustafson K, J S Dowker, Jakobson D Levitin M Nadirashvili N Polterovich I, Kac M, Kirsten K, MacRobert T M, Moss I G, Newton I, Pockels F, Poincaré H, Rayleigh Lord, Romeo A, Siegel W, Sneddon I N, Sommerfeld A, Strauss W A, Treves F, Watson S   +46 more
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Robin boundary conditions are generic in quantum mechanics [PDF]

, 2016
Robin (or mixed) boundary conditions in quantum mechanics have received considerable attention in the last two decades, in particular, for applications to nanoscale systems. However, their utility has remained obscure to the larger physics community; in fact, one may find extant claims in the literature about the supposed naturalness of the specific ...
Gwyneth Allwright, David M. Jacobs
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