F-Expansion Method and New Exact Solutions of the Schrödinger-KdV Equation
The Scientific World Journal, 2014 F-expansion method is proposed to seek exact solutions of nonlinear evolution equations. With the aid of symbolic computation, we choose the Schrödinger-KdV equation with a source to illustrate the validity and advantages of the proposed method. A number
Ali Filiz +2 more
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Regularity of the correctors and local gradient estimate of the homogenization for the elliptic equation: linear periodic case [PDF]
, 2011 Zhang Qiao-fu, Cui Junzhi
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Engineered Protein‐Based Ionic Conductors for Sustainable Energy Storage Applications
Advanced Materials, EarlyView.Rational incorporation of charged residues into an engineered, self‐assembling protein scaffold yields solid‐state protein films with outstanding ionic conductivity. Salt‐doping further enhances conductivity, an effect amplified in the engineered variants. These properties enable the material integration into an efficient supercapacitor.
Juan David Cortés‐Ossa +14 more
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Scaling limits for conditional diffusion exit problems, Doob's h-transform, and asymptotics for nonlinear elliptic equations [PDF]
, 2013 Yuri Bakhtin, Andrzej Święch
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Chiral Acoustic Phonon and Conservation of Pseudoangular Momentum in α‐Quartz
Advanced Materials, EarlyView.Chiral acoustic phonons in α‐quartz are probed via Brillouin light scattering, exploiting the photon's helicity and the crystal's handedness. The interaction obeys a selection rule arising from pseudoangular momentum conservation, enabling direct optical access to phonon chirality in nonsymmorphic crystals.
Changsoo Kim +8 more
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Standard finite elements for the numerical resolution of the elliptic\n Monge-Ampere equation: Aleksandrov solutions [PDF]
, 2013 Gerard Awanou
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced Materials, EarlyView.The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades +7 more
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Continuous dependence of boundary values for semiinfinite interval ordinary differential equations
International Journal of Mathematics and Mathematical Sciences, 1986 Certain elliptic equations arising in catalysis theory can be transformed into ordinary differential equations on the interval (0,∞). The solutions to these problems usually depend on parameters ρ∈ℝn, say u(t,ρ).
David H. Eberly
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Advanced Materials, EarlyView.Ordered three‐dimensional anodic aluminum oxide (3D‐AAO) nanoarchitectures with longitudinal and transverse pores enable architecture‐driven metamaterials. The review maps fabrication advances, including hybrid pulse anodization, and shows how 3D‐AAO templates tailor properties across magnetism, energy, catalysis, and sensing.
Marisol Martín‐González
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Operatori ellittici massiminimanti
Le Matematiche, 1996 In the theory of second order elliptic equations, in non divergence form, two non linear elliptic operators, which are non convex with respect to the second derivatives, are studied.
Cristina Giannotti
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