Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Fang-yan Long"'
Autor:
Waters, Alden, Fang, Yan-Long
The goal of this article is to establish general principles for high frequency dispersive estimates for Maxwell's equation in the exterior of a perfectly conducting ball. We construct entirely new generalized eigenfunctions for the corresponding Maxw
Externí odkaz:
http://arxiv.org/abs/2308.00536
Autor:
Fang, Yan-long, Waters, Alden
Publikováno v:
In Journal of Differential Equations 15 January 2025 415:855-885
Autor:
Fang, Yan-Long, Strohmaier, Alexander
Starting from the construction of the free quantum scalar field of mass $m\geq 0$ we give mathematically precise and rigorous versions of three different approaches to computing the Casimir forces between compact obstacles. We then prove that they ar
Externí odkaz:
http://arxiv.org/abs/2104.09763
Autor:
Fang, Yan-Long, Strohmaier, Alexander
We consider the case of scattering of several obstacles in $\mathbb{R}^d$ for $d \geq 2$ for the Laplace operator $\Delta$ with Dirichlet boundary conditions imposed on the obstacles. In the case of two obstacles, we have the Laplace operators $\Delt
Externí odkaz:
http://arxiv.org/abs/2104.01017
Autor:
Fang, Yan-Long, Warburton, P. A.
A significant challenge in quantum annealing is to map a real-world problem onto a hardware graph of limited connectivity. If the maximum degree of the problem graph exceeds the maximum degree of the hardware graph, one employs minor embedding in whi
Externí odkaz:
http://arxiv.org/abs/1905.03291
Publikováno v:
J. Math. Phys. 58, 082301 (2017)
We work on a parallelizable time-orientable Lorentzian 4-manifold and prove that in this case the notion of spin structure can be equivalently defined in a purely analytic fashion. Our analytic definition relies on the use of the concept of a non-deg
Externí odkaz:
http://arxiv.org/abs/1611.08297
Publikováno v:
Operators and Matrices, 2018, vol. 12, p. 501-527
We study the (massless) Dirac operator on a 3-sphere equipped with Riemannian metric. For the standard metric the spectrum is known. In particular, the eigenvalues closest to zero are the two double eigenvalues +3/2 and -3/2. Our aim is to analyse th
Externí odkaz:
http://arxiv.org/abs/1605.08589
Publikováno v:
Journal of Spectral Theory, 2016, vol. 6, p. 695-715
This is a review paper outlining recent progress in the spectral analysis of first order systems. We work on a closed manifold and study an elliptic self-adjoint first order system of linear partial differential equations. The aim is to examine the s
Externí odkaz:
http://arxiv.org/abs/1512.06281
Autor:
Fang, Yan-Long, Vassiliev, Dmitri
Publikováno v:
In "Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform". AMS Contemporary Mathematics Series, 2015, vol. 653, p. 163-176
The paper deals with a formally self-adjoint first order linear differential operator acting on m-columns of complex-valued half-densities over an n-manifold without boundary. We study the distribution of eigenvalues in the elliptic setting and the p
Externí odkaz:
http://arxiv.org/abs/1403.2663
Autor:
Fang, Yan-Long, Vassiliev, Dmitri
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 165203
Consider a formally self-adjoint first order linear differential operator acting on pairs (2-columns) of complex-valued scalar fields over a 4-manifold without boundary. We examine the geometric content of such an operator and show that it implicitly
Externí odkaz:
http://arxiv.org/abs/1401.3160