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d’Alembert-type formula for transverse oscillations of an infinite rod consisting of two segments with different densities

Doklady Mathematics, 2009
The author continues earlier studies of longitudinal oscillations and now examines transverse oscillations. He seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial ...
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A d’Alembert-type formula for longitudinal oscillations of an infinite rod consisting of two segments with different densities and elasticities

Doklady Mathematics, 2009
The author seeks solution to the Cauchy problem for discontinuous wave equation. This solution belongs to \(W^2_{2, loc} \) class in each of quadrants \({x \leq 0, t \geq 0}, {x \geq 0, t \geq 0}\) and satisfies the conjugation conditions and initial conditions at any moment \(t\geq 0\) and for any \(x\).
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Singularities and Spectral Rigidity of Hyperbolic Operators: Beyond d'Alembert's Formula

This paper explores the intricate relationships between singularities, spectral properties, and the rigidity of hyperbolic operators, moving beyond the classical d'Alembert's formula. We delve into the propagation of singularities in solutions to hyperbolic partial differential equations, analyzing how these singularities are influenced by the geometry
Revista, Zen, MATH, 10
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Pseudo-halide anion engineering for α-FAPbI3 perovskite solar cells

Nature, 2021
Jaeki Jeong, Jongdeuk Seo, Haizhou Lu
exaly  

Database-independent molecular formula annotation using Gibbs sampling through ZODIAC

Nature Machine Intelligence, 2020
Marcus Ludwig   +2 more
exaly  

Spinels: Controlled Preparation, Oxygen Reduction/Evolution Reaction Application, and Beyond

Chemical Reviews, 2017
Qing Zhao, Zhenhua Yan, Chengcheng Chen
exaly  

A high-capacity and long-life aqueous rechargeable zinc battery using a metal oxide intercalation cathode

Nature Energy, 2016
Dipan Kundu   +2 more
exaly  

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