Results 1 to 10 of about 4,317 (261)

Quantum “violation” of Dirichlet boundary condition

Physics Letters B, 2017
Dirichlet boundary conditions have been widely used in general relativity. They seem at odds with the holographic property of gravity simply because a boundary configuration can be varying and dynamic instead of dying out as required by the conditions ...
I.Y. Park
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Holographic BCFT with Dirichlet boundary condition [PDF]

Journal of High Energy Physics, 2019
Neumann boundary condition plays an important role in the initial proposal of holographic dual of boundary conformal field theory, which has yield many interesting results and passed several non-trivial tests.
Rong-Xin Miao
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Abelian mirror symmetry of N $$ \mathcal{N} $$ = (2, 2) boundary conditions

Journal of High Energy Physics, 2021
We evaluate half-indices of N $$ \mathcal{N} $$ = (2, 2) half-BPS boundary conditions in 3d N $$ \mathcal{N} $$ = 4 supersymmetric Abelian gauge theories.
Tadashi Okazaki
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Conformal boundary condition and massive gravitons in AdS/BCFT

Journal of High Energy Physics, 2022
According to Witten [1], the conformal boundary condition of gravity, which specifies the conformal geometry of the boundary and the trace of the extrinsic curvature, is elliptic and leads to well-defined perturbation theory of gravity about any ...
Chong-Sun Chu, Rong-Xin Miao
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On Discrete Solutions for Elliptic Pseudo-Differential Equations [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
We consider discrete analogue for simplest boundary value problem for elliptic pseudo-differential equation in a half-space with Dirichlet boundary condition in Sobolev–Slobodetskii spaces. Based on the theory of discrete boundary value problems
O.A. Tarasova, A.V. Vasilyev, V.B. Vasilyev   +2 more
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Free energy and defect C-theorem in free fermion

Journal of High Energy Physics, 2021
We describe a p-dimensional conformal defect of a free Dirac fermion on a d-dimensional flat space as boundary conditions on a conformally equivalent space ℍ p+1 × S $$ \mathbbm{S} $$ d−p−1.
Yoshiki Sato
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Characterization of the Mean First-Passage Time Function Subject to Advection in Annular-like Domains

Mathematics, 2023
Cell migration in a biological medium towards a blood vessel is modeled, as a random process, sucessively inside an annulus (two-dimensional domain) and an annular cylinder (three-dimensional domain).
Hélia Serrano, Ramón F. Álvarez-Estrada   +1 more
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Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Mathematical Modelling and Analysis, 2023
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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The Meyers Estimates for Domains Perforated along the Boundary

Mathematics, 2021
In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
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Solution to the Dirichlet Problem of the Wave Equation on a Star Graph

Mathematics, 2023
In this paper, the solution to the Dirichlet problem for the wave equation on the star graph is constructed. To begin, we solve the boundary value problem on the interval (on one edge of the graph).
Gaukhar Arepova, Ludmila Alexeyeva, Dana Arepova   +2 more
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