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Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
, 2014We study two inverse problems on a globally hyperbolic Lorentzian manifold (M, g). The problems are:1.Passive observations in spacetime: consider observations in an open set $$V{\subset } M$$V⊂M.
Y. Kurylev, M. Lassas, G. Uhlmann
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Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations
SIAM Journal on Numerical Analysis, 2013In this paper, we study superconvergence properties of the discontinuous Galerkin (DG) method for one-dimensional linear hyperbolic equations when upwind fluxes are used.
Waixiang Cao, Zhimin Zhang, Q. Zou
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Weakly Degenerate Hyperbolic Equations
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hyperbolic Schrödinger equation
Advances in Applied Clifford Algebras, 2004Clifford algebra corresponds to Minkwoski space. The coupling between real object particles and light quantums can be discussed by Minkowski space’s directional strangeness. We introduce Galilei transfomation and Schrodinger equation into Minkowski space and give a geometrical explanation for classical quantum theory.
Zhao Zheng, Yu Xuegang
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AIP Conference Proceedings, 2012
The introduction of the relaxation time into classical constitutive relations yields the hyperbolic modification of the reaction-diffusion-convection equation. Conditions under which all global solutions are uniformly globally oscillatory are shown.
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The introduction of the relaxation time into classical constitutive relations yields the hyperbolic modification of the reaction-diffusion-convection equation. Conditions under which all global solutions are uniformly globally oscillatory are shown.
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1993
The present survey is devoted to the linear hyperbolic equations and systems. The concept of a hyperbolic equation first appeared in the case of a second-order equation $$Pu = \sum\limits_{i,j = 0}^n {{a_{ij}}} {\partial _i}{\partial _j}u = 0$$ (0.1) with constant coefficients.
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The present survey is devoted to the linear hyperbolic equations and systems. The concept of a hyperbolic equation first appeared in the case of a second-order equation $$Pu = \sum\limits_{i,j = 0}^n {{a_{ij}}} {\partial _i}{\partial _j}u = 0$$ (0.1) with constant coefficients.
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