Decay estimates for variable coefficient wave equations in exterior domains

By Jason Metcalfe, D. Tataru. 2008

47 citations recorded by the source corpus.

In this article we consider variable coefficient, time-dependent wave equations in exterior domains R × (R n Ω), n ≥ 3. We prove localized energy estimates if Ω is star-shaped, and global in time Strichartz estimates if Ω is strictly convex.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9de3f1d7fbef37805aadbc5c6049688d11c6e1d7

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In Applied Mathematics

1. D. Tataru
2. Jason Metcalfe
3. Terence Tao
4. Hart F. Smith
5. Christopher D. Sogge
6. Jacob Sterbenz
7. Carlos E. Kenig
8. Herbert Koch

In Mathematical Physics

1. D. Tataru
2. Terence Tao
3. Jason Metcalfe
4. Carlos E. Kenig
5. J. Krieger
6. Jacob Sterbenz
7. Hart F. Smith
8. A. Ionescu

Citations in the corpus

• Local decay of waves on asymptotically flat stationary space-times (2009, background): “See also the related paper Metcalfe-Tataru [34], as well as Alinhac’s article [1].”