Results 261 to 270 of about 3,819,966 (316)

Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations

, 2014
We 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
semanticscholar   +1 more source

On Hyperbolic Partial Differential Equations

American Journal of Mathematics, 1952
where p = zx, q = zy, it is assumed that f is continuous in (x, y, z, p, q) and satisfies a uniform Lipschitz conditioni with respect to (z, p, q). It will be shown (Section 2) that the assumption of a Lipschitz. condition with respect to z can be omitted in these existence theorems, though not in the uniqueness theorems.
Hartman, Philip, Wintner, Aurel
openaire   +1 more source

Superconvergence of Discontinuous Galerkin Methods for Linear Hyperbolic Equations

SIAM Journal on Numerical Analysis, 2013
In 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
semanticscholar   +1 more source

Oscillation of a class of hyperbolic equations

Applied Mathematics and Computation, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peiguang Wang, Weigao Ge
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Manifold spines and hyperbolicity equations

2001
The authors present a combinatorial representaion of gluing 3-manifolds and their special spines. This is done using graphs encoded by \(\gamma\)-tuples of non-negative integers. More precisely, they use the result of Casler which states that two 3-manifolds with homeomorphic special spines are homeomorphic.
RUINI, Beatrice, SPAGGIARI, Fulvia
openaire   +3 more sources

Semilinear equations in the “hyperbolic” case

Nonlinear Analysis: Theory, Methods & Applications, 1995
The author obtains a `generalized variation of constants formula' for the solutions in generalized sense to the inhomogeneous initial value problem (A) \(u'(t)= A(t) u(t)+ f(t)\) for \(t\in [0, T]\), \(u(0)= x\), where \(\{A(t)\}\) is a family of closed linear operators in \(X\) satisfying all conditions corresponding to the `hyperbolic' case except ...
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Composite Methods for Hyperbolic Equations

SIAM Journal on Numerical Analysis, 1977
A composite scheme is presented which combines the properties of the Lax–Wendroff and leapfrog algorithms. The stability properties in one dimension are analyzed for both the pure initial value and for the initial boundary value problem. In two space dimensions one must be careful which generalization of Lax–Wendroff and which generalization of ...
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Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations

, 2002
R. LeVeque
semanticscholar   +1 more source

The Fuchsian approach to global existence for hyperbolic equations

Communications in Partial Differential Equations, 2021
Florian Beyer, Todd A Oliynyk, J Arturo Olvera-Santamaria   +2 more
exaly  

The Dirichlet Problem for a Hyperbolic Equation

American Journal of Mathematics, 1941
Es wird das Problem behandelt, ein solches Paar stetiger Funktionen \( f(x), g(y) \), \( (a \leqq x \leqq b, \alpha \leqq y \leqq \beta) \) zu finden, daß \( f(x)+g(y) \) gegebene stetige Werte \( v \) auf dem Rand \( C \) eines gegebenen, im Rechtecke \( a \leqq x \leqq b, \alpha \leqq y \leqq \beta \) enthaltenen konvexen Bereiches \( B \) annimmt ...
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