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Dunkl Hyperbolic Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.Comment: This is a
Mejjaoli, Hatem
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Inverse problems for nonlinear hyperbolic equations
, 2021 There has been considerable progress in recent years in solving inverse problems for nonlinear hyperbolic equations. One of the striking aspects of these developments is the use of nonlinearity to get new information, which is not possible for the ...
G. Uhlmann, J. Zhai
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The Fuchsian approach to global existence for hyperbolic equations [PDF]
Communications in Partial Differential Equations, 2019 We analyze the Cauchy problem for symmetric hyperbolic equations with a time singularity of Fuchsian type and establish a global existence theory along with decay estimates for evolutions toward the singular time under a small initial data assumption. We,
F. Beyer +2 more
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Recovery of time dependent coefficients from boundary data for hyperbolic equations [PDF]
Journal of Spectral Theory, 2019 We study uniqueness of the recovery of a time-dependent magnetic vector-valued potential and an electric scalar-valued potential on a Riemannian manifold from the knowledge of the Dirichlet to Neumann map of a hyperbolic equation.
A. Feizmohammadi +3 more
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Contact Geometry of Hyperbolic Equations of Generic Type [PDF]
, 2008 We study the contact geometry of scalar second order hyperbolic equations in the plane of generic type. Following a derivation of parametrized contact-invariants to distinguish Monge-Ampere (class 6-6), Goursat (class 6-7) and generic (class 7-7 ...
The, Dennis
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Blow-up for solutions of hyperbolic PDE and spacetime singularities [PDF]
, 2000 An important question in mathematical relativity theory is that of the nature of spacetime singularities. The equations of general relativity, the Einstein equations, are essentially hyperbolic in nature and the study of spacetime singularities is ...
Rendall, Alan D.
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Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations [PDF]
, 2006 The paper examines the existence of pseudo almost periodic solutions to some classes of partial hyperbolic evolution equations. Namely, sufficient conditions for the existence and uniqueness of pseudo almost periodic solutions to those classes of ...
Diagana, Toka
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Hyperbolic integrodifferential equations [PDF]
Proceedings of the American Mathematical Society, 1975 Hyperbolic integrodifferential equations are defined and conditions sufficient for hyperbolicity are given. The theory includes that of constant coefficient hyperbolic partial differential equations. Other examples are given.
openaire +1 more source
Fixing Einstein's equations [PDF]
, 1999 Einstein's equations for general relativity, when viewed as a dynamical system for evolving initial data, have a serious flaw: they cannot be proven to be well-posed (except in special coordinates).
Anderson, Arlen, York, Jr, James W.
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SIAC Filtering for Nonlinear Hyperbolic Equations [PDF]
, 2015 We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws.
Li, Xiaozhou, Ryan, Jennifer
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