The renormalizability is thus ensured by the symmetry content exhibited by the resulting local theory. The example of the nonlocal operator Tr ∫ A μ 1 D 2 A μ is analyzed in detail. A few remarks on the possible role that these operators might have for confining theories are outlined....
nonlocal operator发展在图像上到后面其实就是ldmm了 Osher S, Shi Z, Zhu W. Low Dimensional Manif...
从这里很自然可以看出，我们说一个理论上local的指的是我们能够构建一个自洽的local operator algebra。有...
Feng, X. Nontrivial solution for Schrödinger–Poisson equations involving a fractional nonlocal operator via perturbation methods. Z. Angew. Math. Phys. 67, 74 (2016). https://doi.org/10.1007/s00033-016-0667-6 Download citation Received02 December 2015 Revised16 February 2016 Published23 May...
Non-local temporal interference Abstract Although position and time have different mathematical roles in quantum mechanics, with one being an operator and the other being a parameter, there is a space–time duality in quantum phenomena—a lot of quantum phenomena that were first observed in the ...
We study the non-local reaction–diffusion system with Neumann boundary conditions $$\begin{aligned}& u_{t}(x,t)= \int_{\Omega }J(x-y) \bigl(u(y,t)-u(x,t)\bigr)\,dy+v^{p}(x,t), \quad (x,t)\in \Omega \times (0,T), \\& v_{t}(x,t)= \int_{\...
Nonlocal game as a witness of the nonlocality of entanglement is of fundamental importance in various fields. The well-known nonlocal games or equivalent linear Bell inequalities are only useful for Bell networks consisting of single entanglement. Our goal in this paper is to propose a unified me...
We consider a nonlocal version of the Cahn-Hilliard equation characterized by the presence of a fractional diffusion operator, and which is subject to frac... GAL,G Ciprian - 《European Journal of Applied Mathematics》 被引量: 13发表: 2016年 Existence of Solution to Initial-Boundary Value Prob...
Differential equations with nonlocal and functional terms has become an active area of research; these terms may occur in the differential equation and/or in the initial or boundary conditions. Their study is driven not only by theoretical interest but also by the fact that these type of ...
Page 1. On a semilinear Dirichlet Problem and a We will assume that 0 is an end point of thespectrum of the Schrdinger operator. Usually, for superlinear ... M Willem,W Zou 被引量: 5发表: 2000年 Ground state solutions for a periodic Schrodinger equation with superlinear nonlinearities In...