Some remarks on Strichartz estimates for homogeneous wave equation
By Daoyuan Fang, Chengbo Wang. 2005
50 citations recorded by the source corpus.
Abstract We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of L x ∞ estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L t 4 L x ∞ for n = 2 .
Subfields: Applied Mathematics, Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9c5c7ef84a90121c1a73b2dc92d16d2fb03d3471
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In Applied Mathematics
In Control and Systems Engineering
In Mathematical Physics
Citations in the corpus
- The Glassey conjecture with radially symmetric data (2011, background): “For local well-posedness of the problem, it has been intensively studied at least for p ∈ N, when the general result requires the initial data lie in Hs × Hs−1 for s > max(sc, (n + 5)/4) (see Ponce and Sideris [13], Tataru [23], Fang and Wang [1] and references therein).”