The Wave Equation on Singular Space-Times

被引：0

作者：

James D.E. Grant

Eberhard Mayerhofer

Roland Steinbauer

机构：

[1] University of Vienna,Faculty of Mathematics

来源：

Communications in Mathematical Physics | 2009年 / 285卷

关键词：

Wave Equation; Energy Momentum Tensor; Sobolev Norm; Energy Integral; Dominant Energy Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove local unique solvability of the wave equation for a large class of weakly singular, locally bounded space-time metrics in a suitable space of generalised functions.

引用

页码：399 / 420

页数：21

共 22 条

[1]

Clarke C.J.S.(1998)Generalized hyperbolicity in singular spacetimes Class. Quantum Grav. 15 975-984

[2]

Geroch R.(1987)Strings and other distributional sources in general relativity Phys. Rev. D 36 1017-1031

[3]

Traschen J.(2002)A global theory of algebras of generalized functions Adv. Math. 166 50-72

[4]

Grosser M.(2004)Hölder-Zygmund regularity in algebras of generalized functions Z. Anal. Anwendungen 23 139-165

[5]

Kunzinger M.(2002)Foundations of a nonlinear distributional geometry Acta Appl. Math. 71 179-206

[6]

Steinbauer R.(2002)Generalized pseudo-Riemannian geometry Trans. Amer. Math. Soc. 354 4179-4199

[7]

Vickers J.A.(1967)Generalized Hamiltonian mechanics: A mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics Arch. Rat. Mech. Anal. 28 323-361

[8]

Hörmann G.(1979)Distributional geometry J. Math. Phys. 20 1423-1426

[9]

Kunzinger M.(1999)Expanding impulsive gravitational waves Class. Quantum Grav. 16 2937-2946

[10]

Steinbauer R.(1954)Sur l’impossibilité de la multiplication des distributions C. R. Acad. Sci. Paris 239 847-848

← 1 2 3 →