Results 11 to 20 of about 283,896 (317)
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.
O.A. Tarasova +2 more
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Semiclassical Limit of Gross-Pitaevskii Equation with Dirichlet Boundary Condition [PDF]
SIAM Journal on Mathematical Analysis, 2019 In this paper, we justify the semiclassical limit of Gross-Pitaevskii equation with Dirichlet boundary condition on the 3-D upper space under the assumption that the leading order terms to both initial amplitude and initial phase function are ...
Guilong Gui, Ping Zhang
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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 +1 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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Laplace equation in the half-space with a nonhomogeneous Dirichlet boundary condition [PDF]
, 2001 Chérif Amrouche, Šárka Nečasová
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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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Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]
, 2020 Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
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Generalized Hamilton-Jacobi-Bellman Equations with Dirichlet Boundary Condition and Stochastic Exit Time Optimal Control Problem [PDF]
SIAM Journal of Control and Optimization, 2014 We consider a kind of stochastic exit time optimal control problems, in which the cost function is defined through a nonlinear backward stochastic differential equation. We study the regularity of the value function for such a control problem.
R. Buckdahn, Tianyang Nie
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Moving Dirichlet boundary conditions [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which ...
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