# SECOND-ORDER HYPERBOLIC FUCHSIAN SYSTEMS. II. GOWDY SPACETIMES AND THE FUCHSIAN NUMERICAL ALGORITHM

@inproceedings{Beyer2010SECONDORDERHF, title={SECOND-ORDER HYPERBOLIC FUCHSIAN SYSTEMS. II. GOWDY SPACETIMES AND THE FUCHSIAN NUMERICAL ALGORITHM}, author={Florian Beyer and Philippe G. LeFloch}, year={2010} }

This is the second part of a series devoted to the singular initial value problem for second-order hyperbolic Fuchsian systems. In the rst part, we dened and investigated this general class of systems, and we established a well-posedness theory in weighted Sobolev spaces. This theory is applied here to the vacuum Einstein equations for Gowdy spacetimes admitting, by denition, two Killing elds satisfying certain geometric conditions. We recover, by more direct and simpler arguments, the well… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

#### Citations

##### Publications citing this paper.

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 20 REFERENCES

## Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## General Relativity and the Einstein Equations

VIEW 1 EXCERPT

## Regularity of Cauchy horizons in S2xS1 Gowdy spacetimes

VIEW 1 EXCERPT

## Strong cosmic censorship in T-3-Gowdy spacetimes

VIEW 2 EXCERPTS

## FUCHSIAN PARTIAL DIFFERENTIAL EQUATIONS

VIEW 1 EXCERPT

## Cauchy horizons in Gowdy spacestimes, Class

VIEW 2 EXCERPTS