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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, ISSN 0002-9939, 05/2019, Volume 147, Issue 5, pp. 2107 - 2121
Suppose that Omega subset of Rn+1, n >= 2, is an open set satisfying the corkscrew condition with an n-dimensional ADR boundary, partial derivative Omega. In... 
MATHEMATICS | MATHEMATICS, APPLIED | GREEN-FUNCTION
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 03/2017, Volume 473, Issue 2199
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 2018, Volume 146, Issue 11, pp. 4823 - 4835
We study the existence and positivity of solutions to problems involving higher-order fractional Laplacians (-Delta)(s) for any s > 1. In particular, using a... 
MATHEMATICS | ELEMENTARY PROOF | MATHEMATICS, APPLIED | REGULARITY | INEQUALITY | POWER | GREEN-FUNCTION
Journal Article
Wuli Xuebao/Acta Physica Sinica, ISSN 1000-3290, 10/2017, Volume 66, Issue 20
Journal Article
Physical Review Letters, ISSN 0031-9007, 1994, Volume 73, Issue 14, pp. 1959 - 1962
We describe a quantum Monte Carlo method for calculating the electronic properties of solids using wave functions with nonzero wave vectors. Our method uses... 
NONLOCAL PSEUDOPOTENTIAL APPROACH | HYDROGEN | GROUND-STATE | DIAMOND | SILICON | PHYSICS | GREEN-FUNCTION | BRILLOUIN-ZONE | MOLECULES
Journal Article
Optics Express, ISSN 1094-4087, 03/2014, Volume 22, Issue 5, pp. 5927 - 5936
Heavily-doped strained germanium (Ge) can emit light efficiently thanks to its pseudo direct band gap characteristic. This makes Ge a good candidate for... 
SILICON PHOTONICS | OPTICS | GREEN-FUNCTION | EMISSION | LASER
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2016, Volume 368, Issue 1, pp. 281 - 318
We prove gradient estimates for harmonic functions with respect to a d-dimensional unimodal pure-jump Levy process under some mild assumptions on the density... 
FRACTIONAL LAPLACIAN | MATHEMATICS | HARNACK INEQUALITY | HEAT KERNEL | GREEN-FUNCTION | REGULARITY
Journal Article
Optics Express, ISSN 1094-4087, 12/2018, Volume 26, Issue 26, pp. 33732 - 33747
We present a computational framework for efficient optimization-based "inverse design" of large-area "metasurfaces" (subwavelength-patterned surfaces) for... 
ELEMENTS | ABERRATION | GREEN-FUNCTION METHOD | OPTIMIZATION | FABRICATION | OPTICS | LENS
Journal Article
Journal of Physics: Condensed Matter, ISSN 0953-8984, 06/2010, Volume 22, Issue 25, pp. 253202 - 253202
Journal Article
Optics Express, ISSN 1094-4087, 11/2018, Volume 26, Issue 23, pp. 30202 - 30230
Optical metasurfaces (subwavelength-patterned surfaces typically described by variable effective surface impedances) are typically modeled by an approximation... 
TENSOR | REFLECTION | FLAT OPTICS | GREEN-FUNCTION METHOD | LIGHT | OPTICS | SCATTERING
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2016, Volume 443, Issue 1, pp. 81 - 91
Suppose that a harmonic function on a finite cylinder vanishes on the curved part of the boundary. It was recently shown that then has a harmonic continuation... 
Cylindrical harmonics | Harmonic continuation | Green function | MATHEMATICS | EQUATIONS | MATHEMATICS, APPLIED
Journal Article
Fizika Nizkikh Temperatur, ISSN 0132-6414, 04/2015, Volume 41, Issue 4, pp. 363 - 367
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2019, Volume 346, pp. 622 - 632
We analyze dynamical properties of two fractional Schrödinger equations coupled by some classes of real time independent potentials. For this set of equations,... 
Lévy distribution | Green function | Fractional Schrödinger equation | MATHEMATICS, APPLIED | Fractional Schrodinger equation | Levy distribution
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2017, Volume 42, pp. 997 - 1007
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2012, Volume 389, Issue 1, pp. 403 - 411
In this paper, we consider the existence of positive solutions for a class of nonlinear boundary-value problem of fractional differential equations with... 
Superlinear (sublinear) condition | Integral boundary conditions | Fractional differential equations | Green function | Positive solution | EXISTENCE | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | DEVIATING ARGUMENTS | SYSTEMS | INTEGRODIFFERENTIAL EQUATIONS | Super linear (sublinear) condition | Differential equations
Journal Article
Advances in Intelligent Systems and Computing, ISSN 2194-5357, 2019, Volume 752, pp. 183 - 188
Conference Proceeding
Physica E: Low-dimensional Systems and Nanostructures, ISSN 1386-9477, 05/2017, Volume 89, pp. 21 - 28
Using irreducible Green’s functions (IGF) method we analyse the Coulomb interaction dependence of the spectral functions and the transport properties of a... 
Quantum dot | Equation of motion | Andreev transmittance | Green function
Journal Article
Advances in Pure and Applied Mathematics, ISSN 1867-1152, 03/2018
Journal Article
Journal of Applied Physics, ISSN 0021-8979, 2009, Volume 106, Issue 4, p. 44306
Using the general formalism of the fluctuational electrodynamics we extend the classical theory of near-field heat transfer between massive materials to any... 
GREEN-FUNCTION | PHYSICS, APPLIED | ELECTROMAGNETIC-WAVES | Thermodynamics | Research | Analysis | Nanotechnology
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 11/2015, Volume 92, Issue 18
We present a general first-principles approach to treat various linear response phenomena relevant for spintronics. It is based on a Kubo-Bastin formalism and... 
PHYSICS, CONDENSED MATTER | COHERENT-POTENTIAL APPROXIMATION | GREEN-FUNCTION METHOD | ELECTRICAL-CONDUCTIVITY | SYSTEMS | BAND-STRUCTURE | DISORDERED ALLOYS | RESISTIVITY | ELECTRONIC TRANSPORT | SCATTERING
Journal Article
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