Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order
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Publication:997988
DOI10.1016/j.crma.2007.05.015zbMath1122.35144OpenAlexW2043413393MaRDI QIDQ997988
Publication date: 10 August 2007
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2007.05.015
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)
Related Items (8)
On the characteristic initial value problem for the spherically symmetric Einstein-Euler equations ⋮ Local existence of solutions of self gravitating relativistic perfect fluids ⋮ Well-posedness of the Einstein-Euler system in asymptotically flat spacetimes: the constraint equations ⋮ On the well-posedness of the vacuum Einstein's equations ⋮ On the asymptotic behavior of static perfect fluids ⋮ The Newtonian limit for perfect fluids ⋮ Cosmological post-Newtonian expansions to arbitrary order ⋮ A RIGOROUS FORMULATION OF THE COSMOLOGICAL NEWTONIAN LIMIT WITHOUT AVERAGING
Cites Work
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- Phase space for the Einstein equations
- The null spaces of elliptic partial differential operators in R\(^n\)
- Solution reguliere a temps petit pour l'equation d'euler—poisson
- Rough solutions of the Einstein constraint equations
- The initial value problem for a class of general relativistic fluid bodies
- On the boundedness of the mapping f ↦ |f|μ, μ > 1 on Besov spaces
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