Isospectral shapes with Neumann and alternating boundary conditions [PDF]
The isospectrality of a well-known pair of shapes constructed from two arrangements of seven congruent right isosceles triangles with the Neumann boundary condition is verified numerically to high precision. Equally strong numerical evidence for isospectrality is presented for the eigenvalues of this standard pair in new boundary configurations with ...
Driscoll, T., Gottlieb, Hans
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Boundary unique continuation theorems under zero Neumann boundary conditions [PDF]
Let u be a solution to a second order elliptic equation with singular potentials belonging to the Kato-Fefferman-Phong's class in Lipschitz domains. We prove the boundary unique continuation theorems and the doubling properties for u2 near the boundary under the zero Neumann boundary condition.
Tao, Xiangxing, Zhang, Songyan
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Tweaking one-loop determinants in AdS3
We revisit the subject of one-loop determinants in AdS3 gravity via the quasi-normal mode method. Our goal is to evaluate a one-loop determinant with chiral boundary conditions for the metric field; chirality is achieved by imposing Dirichlet boundary ...
Alejandra Castro +2 more
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Boundary confining dualities and Askey-Wilson type q-beta integrals
We propose confining dualities of N $$ \mathcal{N} $$ = (0, 2) half-BPS boundary conditions in 3d N $$ \mathcal{N} $$ = 2 supersymmetric SU(N), USp(2n) and SO(N) gauge theories.
Tadashi Okazaki, Douglas J. Smith
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Correlation functions of boundary field theory from bulk Green's functions and phases in the boundary theory [PDF]
In the context of the bulk-boundary correspondence we study the correlation functions arising on a boundary for different types of boundary conditions. The most general condition is the mixed one interpolating between the Neumann and Dirichlet conditions.
Avis +12 more
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Controllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditions [PDF]
We prove a null controllability result for a parabolic problem with Neumann boundary conditions. We consider non smooth coefficients in presence of a strongly singular potential and a strongly degenerate coefficient, both vanishing at an interior point ...
Genni Fragnelli, Dimitri Mugnai
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The SO(N) principal chiral field on a half-line [PDF]
We investigate the integrability of the SO(N) principal chiral model on a half-line, and find that mixed Dirichlet/Neumann boundary conditions (as well as pure Dirichlet or Neumann) lead to infinitely many conserved charges classically in involution.
Cherednik I V +10 more
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Computational approaches to initial-boundary value problems with Neumann boundary conditions
In this paper, recursive solution schemes for different boundary value problems and initial-boundary value problems of partial differential equations with Neumann boundary conditions are proposed.
H. O. Bakodah, N. A. Al-Zaid
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Pointwise observation of the state given by complex time lag parabolic system
Various optimization problems for linear parabolic systems with multiple constant time lags are considered. In this paper, we consider an optimal distributed control problem for a linear complex parabolic system in which different multiple constant time ...
Kowalewski Adam
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Supergravity at the boundary of AdS supergravity
We give a general analysis of AdS boundary conditions for spin-3/2 Rarita-Schwinger fields and investigate boundary conditions preserving supersymmetry for a graviton multiplet in AdS_4.
Aaron J. Amsel +5 more
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