Results 51 to 60 of about 2,670,928 (182)

Spectral asymmetry for bag boundary conditions [PDF]

, 2002
We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type.
A Wipf, Atiyah M F, Atiyah M F, Atiyah M F, Avramidi I G, Beneventano C G, Bordag M, C G Beneventano, Douglas R G, Dowker J S, E M Santangelo, Elizalde E, Elizalde E, Gilkey P B, Grubb G, Hawking S W, Kirsten K, Kirsten K, Ma Z Q, Müller W, Park J, Santangelo E M, Vassilevich D V, Wojciechowski K P, Wojciechowski K P   +24 more
core   +3 more sources

Fractional-order boundary value problem with Sturm-Liouville boundary conditions

Electronic Journal of Differential Equations, 2015
Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting.
Douglas R. Anderson, Richard I. Avery
doaj  

Interpolating boundary conditions on AdS 2

Journal of High Energy Physics, 2023
We consider two instances of boundary conditions for massless scalars on AdS 2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2; ℝ) conformal group is not immediate given
Anthonny F. Canazas Garay, Diego H. Correa, Alberto Faraggi, Guillermo A. Silva   +3 more
doaj   +1 more source

Kinetic equations with Maxwell boundary conditions [PDF]

, 2010
We prove global stability results of {\sl DiPerna-Lions} renormalized solutions for the initial boundary value problem associated to some kinetic equations, from which existence results classically follow. The (possibly nonlinear) boundary conditions are
Mischler, Stéphane
core   +5 more sources

Conformal boundary conditions from cutoff AdS3

Journal of High Energy Physics, 2021
We construct a particular flow in the space of 2D Euclidean QFTs on a torus, which we argue is dual to a class of solutions in 3D Euclidean gravity with conformal boundary conditions.
Evan Coleman, Vasudev Shyam
doaj   +1 more source

Wetting, roughness and flow boundary conditions

, 2011
We discuss how the wettability and roughness of a solid impacts its hydrodynamic properties. We see in particular that hydrophobic slippage can be dramatically affected by the presence of roughness. Owing to the development of refined methods for setting
Belyaev, Aleksey V., Vinogradova, Olga I.   +1 more
core   +1 more source

Boundary conditions in linearized harmonic gravity [PDF]

, 2001
We investigate the initial-boundary value problem for linearized gravitational theory in harmonic coordinates. Rigorous techniques for hyperbolic systems are applied to establish well-posedness for various reductions of the system into a set of six wave ...
Schmidt, Bernd, Szilagyi, Bela, Winicour, Jeffrey   +2 more
core   +2 more sources

Quantum detection of boundary conditions

Physics Letters B
The quantum detection of spacetime conicity was investigated in reference Cong et al. (2021) [9] through the analysis of the response function of an Unruh-deWitt detector coupled to a massless scalar field.
Jefferson Monção da Silva, João Paulo M. Pitelli   +1 more
doaj   +1 more source

Linear ODE with nonlocal boundary conditions and Green’s functions for such problems

Lietuvos Matematikos Rinkinys, 2019
In this article we investigate a formula for the Green’s function for the n-order linear differential equation with n additional conditions. We use this formula for calculating the Green’s function for problems with nonlocal boundary conditions.
Svetlana Roman, Artūras Štikonas
doaj   +1 more source

Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions

Electronic Journal of Differential Equations, 2020
In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions and show their close connection with the notion of strongly regular boundary conditions.
Ludmila S. Pulkina
doaj