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A D’Alembert Formula for Flat Surfaces in the 3-Sphere
Journal of Geometric Analysis, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aledo, Juan A. +2 more
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D'ALEMBERT FORMULA AND THE DIRECT OR INVERSE PROBLEMS FOR WAVE EQUATION
Acta Mathematica Scientia, 1990Summary: A new proof of the D'Alembert formula for Cauchy problems for the wave equation is proposed. Some D'Alembert-type formulas for a Cauchy problem with discontinuous coefficients or a semi-infinite initial boundary value problem are proposed. The characteristic methods for the direct and inverse problems of the stress wave equation for a uniform ...
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On the Solution Theory of Factored Cauchy Problems and the Abstract d'Alembert's Formula
SemiGroup Forum, 2000The paper deals with the mild solutions of \(n-\)th order factored (or iterated) abstract Cauchy problems in the following sense. Considering on the Banach space \((X,\|\cdot\|)\) a sequence \(A_1,\dots,A_n\) of infinitesimal generator of the semigroups \((T_1(t))_{t\geq 0},\dots, (T_n(t))_{t\geq 0}\) respectively.
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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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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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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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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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Doklady Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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 geometryRevista, Zen, MATH, 10
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Breastfeeding and the role of the commercial milk formula industry
Lancet, The, 2023Jonas Lander, Marie-Luise Dierks
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Generalized d'Alembert formula for the telegraph equation
Итоги науки и техники Серия «Современная математика и ее приложения Тематические обзоры», 2021openaire +1 more source
Marketing of commercial milk formula: a system to capture parents, communities, science, and policy
Lancet, The, 2023Nigel C Rollins +2 more
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