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General Energy Decay of Solutions for a Wave Equation with Nonlocal Damping and Nonlinear Boundary Damping

Journal of Partial Differential Equations, 2019
In this paper, we consider a nonlinear wave equation with nonlocal damping and nonlinear boundary damping. We prove a general energy decay property for solutions in terms of coefficient of the frictional boundary damping by using of the multiplier ...
Donghao Li sci
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A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations

Communications in Computational Physics, 2021
In this paper, we propose an efficient mortar spectral element approximation scheme for full-potential electronic structure calculations. As a subsequent work of [24], the paper adopts a similar domain decomposition that the computational domain is first
Yichen Guo
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On semi-classical limits of ground states of a nonlinear Maxwell-Dirac system

, 2014
We study the semi-classical ground states of the nonlinear MaxwellDirac system:    α · ( i~∇+ q(x)A(x) ) w − aβw − ωw − q(x)φ(x)w = P (x)g(|w|)w −∆φ = q(x) |w| −∆Ak = q(x)(αkw) · w̄ k = 1, 2, 3 for x ∈ R, where A is the magnetic field, φ is the ...
Yanheng Ding, Xueting Tian
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Pauli Exclusion Principle and Nonlinear Dirac Equation

Journal of Geometry and Symmetry in Physics
The nonlinear Dirac equation is a magical equation that hides many mysteries of nature, so it is worth systematic study. In this paper, we give a detailed analysis for the effects of various covariant potential terms on the energy eigenstates and the ...
Ying-Qiu Gu
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The Axiom of Choice in Quantum Theory

Mathematical Logic Quarterly, 1996
M. Baaz, N. Brunner, K. Svozil
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