Hyperbolic Methods for Einstein’s Equations [PDF]
Je passe en revue les aspects évolutifs de la relativité générale, en particulier ceux liés au caractère hyperbolique des équations de champ et aux applications ou conséquences que cette propriété entraîne. J'examine plusieurs approches pour obtenir des systèmes d'équations hyperboliques symétriques à partir des équations d'Einstein en supprimant ...
openaire +6 more sources
We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
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The Bitsadze–Samarskii problem for some characteristically loaded hyperbolic-parabolic equation
The paper considers a characteristically loaded equation of a mixed hyperbolic-parabolic type with degeneration of order in the hyperbolicity part of the domain.
Kazbek Uzeirovich Khubiev
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Uniform stabilization of a coupled structural acoustic system by boundary dissipation
We consider a coupled PDE system arising in noise reduction problems. In a two dimensional chamber, the acoustic pressure (unwanted noise) is represented by a hyperbolic wave equation.
Mehmet Camurdan
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Minimal Lagrangian surfaces in CH^2 and representations of surface groups into SU(2,1) [PDF]
We use an elliptic differential equation of Tzitzeica type to construct a minimal Lagrangian surface in the complex hyperbolic plane CH^2 from the data of a compact hyperbolic Riemann surface and a small holomorphic cubic differential.
Loftin, John, McIntosh, Ian
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The Existence of a Unique Solution of the Hyperbolic Functional Differential Equation
We consider the Z. Szmydt problem for the hyperbolic functional differential equation. We prove a theorem on existence of a unique classical solution and the Carathéodory solution of the hyperbolic equation.
Karpowicz Adrian
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Spectral problem for the sixth order nonclassical differential equations
In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov +4 more
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Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary [PDF]
We consider the multidimensional inverse problem of determining the conductivity coefficient of a hyperbolic equation in an infinite cylindrical domain, from a single boundary observation of the solution.
Cristofol, Michel +2 more
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On Solving Hyperbolic Trajectory Using New Predictor-Corrector Quadrature Algorithms
In this Paper, we proposed two new predictor corrector methods for solving Kepler's equation in hyperbolic case using quadrature formula which plays an important and significant rule in the evaluation of the integrals.
Baghdad Science Journal
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The exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
In the paper, we study the Boiti-Leon-Manna-Pempinelli equation with (3 + 1) dimension. By using the modified hyperbolic tangent function method, we obtain more new exact solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation, which ...
Xiaofang Duan, Junliang Lu
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