Strichartz estimates for non‐degenerate Schrödinger equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800148
Abstract: We consider the Schrödinger equation with a non‐degenerate metric on the Euclidean space. We study local in time Strichartz estimates for the Schrödinger equation without loss of derivatives including the endpoint case. In contrast to… read more here.
Keywords: dinger equation; strichartz estimates; estimates non; non degenerate ... See more keywords
Asymptotic Properties of Linear Field Equations in Anti-de Sitter Space
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03601-6
Abstract: We study the global dynamics of the wave equation, Maxwell’s equation and the linearized Bianchi equations on a fixed anti-de Sitter (AdS) background. Provided dissipative boundary conditions are imposed on the dynamical fields we prove… read more here.
Keywords: non degenerate; boundary conditions; anti sitter; decay estimates ... See more keywords
A Non-degenerate Scattering Theory for the Wave Equation on Extremal Reissner–Nordström
Sign Up to like & getrecommendations! Published in 2020 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-020-03857-3
Abstract: It is known that sub-extremal black hole backgrounds do not admit a (bijective) non-degenerate scattering theory in the exterior region due to the fact that the redshift effect at the event horizon acts as an… read more here.
Keywords: theory wave; equation extremal; non degenerate; wave equation ... See more keywords
Solutions of the Braid Equation and Orders
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DOI: 10.1007/s10468-018-9793-5
Abstract: We introduce the notion of non-degenerate solution of the braid equation on the incidence coalgebra of a locally finite order. Each one of these solutions induces by restriction a non-degenerate set-theoretic solution over the underlying… read more here.
Keywords: non degenerate; equation orders; solution; braid equation ... See more keywords
On Non-degenerate Null Normal Sections of Codimension Two Spacelike Surfaces
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-017-0557-x
Abstract: In this paper, we develop a formula for spacelike surfaces in a four-dimensional Lorentzian space form which involves its mean curvature vector field, the Gauss curvature of the induced metric and the Gauss curvature of… read more here.
Keywords: null normal; non degenerate; spacelike surfaces; degenerate null ... See more keywords
Degenerate and non-degenerate In2O3 thin films by pulsed electron beam deposition
Sign Up to like & getrecommendations! Published in 2018 at "Materials Science in Semiconductor Processing"
DOI: 10.1016/j.mssp.2018.07.024
Abstract: Abstract Pulsed electron beam deposition (PED) was used to grow indium oxide thin films on c-cut sapphire single crystalline substrates between room temperature and 500 °C under oxygen gas. A slight difference in oxygen pressure during… read more here.
Keywords: non degenerate; thin films; pulsed electron; degenerate ... See more keywords
Lower- and higher-order nonclassical features in non-degenerate hyper-Raman processes
Sign Up to like & getrecommendations! Published in 2019 at "Optics Communications"
DOI: 10.1016/j.optcom.2019.03.044
Abstract: Abstract The nonclassical properties of the different modes in the stimulated, spontaneous, and partially spontaneous multi-photon pump non-degenerate hyper-Raman processes are investigated by obtaining a perturbative analytic operator solution of a completely quantum mechanical Hamiltonian… read more here.
Keywords: non degenerate; raman processes; degenerate hyper; raman ... See more keywords
Degenerate and non-degenerate all-optical switches using violet phosphorus nanosheets.
Sign Up to like & getrecommendations! Published in 2023 at "Nanoscale"
DOI: 10.1039/d2nr07237h
Abstract: As an allotrope of phosphorus, layered violet phosphorus (VP) has a wide range of applications in electronics, photonics, and optoelectronics. However, its nonlinear optical properties remain to be explored. In this work, we prepare and… read more here.
Keywords: phosphorus; degenerate optical; optical switches; violet phosphorus ... See more keywords
Tunable valleytronics with symmetry-retaining high polarization degree in SnSxSe1−x model system
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DOI: 10.1063/1.5128717
Abstract: SnS has recently been shown to possess unique valleytronic capability with a large polarization degree, where non-degenerate valleys can be accessed using linearly polarized light, bestowed upon by the unique anisotropy and wavefunction symmetry. It… read more here.
Keywords: non degenerate; system; polarization; polarization degree ... See more keywords
Infinitely many solutions for non-local elliptic non-degenerate p-Kirchhoff equations with critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1627527
Abstract: ABSTRACT In this paper, we obtain the existence of infinitely many weak solutions with negative energy for non-degenerate elliptic Kirchhoff equation with critical exponent driven by the fractional p-Laplacian. We show this result when is… read more here.
Keywords: non degenerate; critical exponent; kirchhoff; infinitely many ... See more keywords
Overcoming the Fundamental Limit of Two-Photon Microscopy With Non-Degenerate Excitation
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DOI: 10.1364/brain.2020.btu1c.4
Abstract: We use non-degenerate two-photon excitation where the two excitation beams are displaced in space outside the focal volume to increase the signal-to-background ratio (SBR), overcoming the fundamental penetration depth limit of conventional two-photon microscopy. ©… read more here.
Keywords: non degenerate; microscopy; two photon; overcoming fundamental ... See more keywords