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Logarithmic minimal models with Robin boundary conditions [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2016 We consider general logarithmic minimal models ${\cal LM}(p,p')$, with $p,p'$ coprime, on a strip of $N$ columns with the $(r,s)$ Robin boundary conditions introduced by Pearce, Rasmussen and Tipunin. The associated conformal boundary conditions are labelled by the Kac labels $r\in{\Bbb Z}$ and $s\in{\Bbb N}$.
Bourgine, Jean-Emile +2 more
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Size estimates of unknown boundaries with a Robin-type condition [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2017 We deal with the problem of determining an unknown part of the boundary of an electrical conductor that is inaccessible for external observation and where a corrosion process is going on. We obtain estimates of the size of this damaged region from above and below.
DI CRISTO, MICHELE +2 more
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Mathematical Modelling and Analysis, 2017 We consider the eigenvalue problem with Robin boundary condition ∆u + λu = 0 in Ω, ∂u/∂ν + αu = 0 on ∂Ω, where Ω ⊂ Rn , n ≥ 2 is a bounded domain with a smooth boundary, ν is the outward unit normal, α is a real parameter.
Alexey V. Filinovskiy
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Hybrid Method for Inverse Elastic Obstacle Scattering Problems
Mathematics, 2023 The problem of determining the shape of an object from knowledge of the far-field of a single incident wave in two-dimensional elasticity was considered. We applied an iterative hybrid method to tackle this problem. An advantage of this method is that it
Yuhan Yin, Juan Liu
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Hairy black holes in AdS with Robin boundary conditions
Journal of High Energy Physics, 2023 We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field.
Tomohiro Harada +3 more
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Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition [PDF]
SIAM Journal on Mathematical Analysis, 2010 We consider an inverse problem arising in corrosion detection. We prove a stability result of logarithmic type for the determination of the corroded portion of the boundary and impedance by two measurements on the accessible portion of the boundary.
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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 Dirichlet condition case [G. Bouchitté, M. L. Mascarenhas, and L.
Bouchitté, Guy +2 more
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Temperature on rods with Robin boundary conditions
Journal of Mathematical Analysis and Applications, 2023 We consider solutions $u_f$ to the one-dimensional Robin problem with the heat source $f\in L^1[-π,π]$ and Robin parameter $α>0$.
Betsakos, Dimitrios, Solynin, Alexander
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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. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states ...
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Diffusion with nonlocal Robin boundary conditions [PDF]
Journal of the Mathematical Society of Japan, 2018 We investigate a second order elliptic differential operator $A_{β, μ}$ on a bounded, open set $Ω\subset\mathbb{R}^{d}$ with Lipschitz boundary subject to a nonlocal boundary condition of Robin type. More precisely we have $0\leq β\in L^{\infty}(\partialΩ)$ and $μ\colon \partial Ω\to \mathscr{M}(\overlineΩ)$, and boundary conditions of the form ...
ARENDT, Wolfgang +2 more
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