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(1)
Wave Equation
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(2)
Le?cons sur ...
The Large Scale Structure of Spacetime
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The wave equation on a curved spacetime
The wave equation on a curved spacetime,F. G. Friedlander
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The wave equation on a curved spacetime
(
Citations: 76
)
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F. G. Friedlander
Published in 1975.
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Citation Context
(19)
...Friedlander’s book [
3
] is devoted to an integral formulation of the solution for data on a lightcone using techniques due to Leray and Hadamard...
Dietrich Hafner
,
et al.
The characteristic Cauchy problem for Dirac fields on curved backgroun...
...However, we expect that these results can be generalised in the usual way; from the point of view of general relativity we can appeal to stronger theorems [
31
], [35] when we specialise to spaces with Lorentz signature...
S. Brian Edgar
,
et al.
A weighted de Rham operator acting on arbitrary tensor fields and thei...
...time [
8
]. To avoid introducing excessive complications in the present paper we have...
...[
8
]. A more complete treatment of the reductions discussed here (which do not appear...
...The theory developed in Friedlander’s book [
8
] (which builds on the fundamental...
...Eq. (4.2.17) of [
8
] and given in local coordinates by Eq. (4.2.18) or (4.2.19) of that...
...dual ∗v to av ectorv via Eq. (2.9.3) of Ref. [
8
] (see also p. 194 of this reference)...
...Eq. (5.5.23) of Ref. [
8
]) which determines this quantity along Cp. Carrying out these operations and writing (V0) µν αβ (x, x )f or...
Vincent Moncrief
.
Analytic reductions of selfforce calculations in curved spacetimes
...From the point of view of general relativity, we note: • We can appeal to stronger existence theorems [
17
] when we specialise to spaces with Lorentz signature, and the second order differential equations become wave equations...
Brian Edgar
.
Proofs of existence of local potentials for tracefree symmetric 2for...
...However, as is usually the case, we expect that these results can be generalized, by using appropriate techniques of existence and uniqueness of solutions to differential equations, to the smooth case and even to spaces of low differentiability; from the point of view of general relativity, we can appeal to stronger theorems [
8
], [9] when we specialise to spaces with Lorentz signature, and the second order differential equations in the ...
S. Brian Edgar
,
et al.
A local potential for the Weyl tensor in all dimensions
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Citations
(76)
The Motion of Point Particles in Curved Spacetime
(
Citations: 46
)
Eric Poisson
,
Adam Pound
,
Ian Vega
Published in 2011.
On Breakdown Criteria for Nonvacuum Einstein Equations
(
Citations: 3
)
Arick Shao
Journal:
Annales Henri Poincare  ANN HENRI POINCARE
, vol. 12, no. 2, pp. 205277, 2011
A Generalized Representation Formula for Systems of Tensor Wave Equations
Arick Shao
Journal:
Communications in Mathematical Physics  COMMUN MATH PHYS
, vol. 306, pp. 132, 2011
Analysis of ray tube area in geometrical shock dynamics
(
Citations: 1
)
GholamAli Zakeri
Journal:
Applied Mathematics and Computation  AMC
, vol. 217, no. 2, pp. 830836, 2010
Transient anomaly imaging by the acoustic radiation force
Habib Ammari
,
Pierre Garapon
,
Lili Guadarrama Bustos
,
Hyeonbae Kang
Journal:
Journal of Differential Equations  J DIFFERENTIAL EQUATIONS
, vol. 249, no. 7, pp. 15791595, 2010