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On phase segregation in nonlocal two-particle Hartree systems
Aschbacher Walter, Squassina Marco
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Infinite-body optimal transport with Coulomb cost. [PDF]
Cotar C, Friesecke G, Pass B.
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Traveling waves and effective mass for the regularized Landau-Pekar equations. [PDF]
Rademacher S.
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Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities. [PDF]
Behrndt J+3 more
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The ground states for the non-cooperative autonomous systems involving the fractional Laplacian
, 2022The aim of this paper is to study the the following non-cooperative autonomous systems involving the fractional Laplacian(−∆)su + λu = g(v), in RN,(−∆)sv + λv = f(u), in RN,where s ∈ (0, 1), N > 2s, λ > 0, (−∆)s is the fractional Laplacian and f and g ...
Suhong Li+3 more
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MultiscaleComputations fortheMaxwell–Schrödinger System in Heterogeneous Nanostructures
Communications in Computational Physics, 2020In this paper, we study the multiscale computations for the Maxwell– Schrödinger system with rapidly oscillating coefficients under the dipole approximation that describes light-matter interaction in heterogeneous nanostructures.
Chupeng Ma
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A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations
Communications in Computational Physics, 2021In 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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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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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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, 2015
Existence and nonexistence results on global solutions to the Cauchy problem for semirelativistic equations are shown by a simple compactness argument and a test function method, respectively.
K. Fujiwara, T. Ozawa
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Existence and nonexistence results on global solutions to the Cauchy problem for semirelativistic equations are shown by a simple compactness argument and a test function method, respectively.
K. Fujiwara, T. Ozawa
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A Class of Periodic Solutions of One-Dimensional Landau-Lifshitz Equations
, 2017We study one-dimensional Landau-Lifshitz Equations and give the sufficient and necessary conditions for the existence of a class of periodic solutions.
Xi Chen, R. Jiang, Youde Wang
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