Energy Dispersed Large Data Wave Maps in 2 + 1 Dimensions
By Jacob Sterbenz, D. Tataru. 2009
133 citations recorded by the source corpus.
In this article we consider large data Wave-Maps from $${\mathbb R^{2+1}}$$ into a compact Riemannian manifold $${(\mathcal{M},g)}$$, and we prove that regularity and dispersive bounds persist as long as a certain type of bulk (non-dispersive) concentration is absent. This is a companion to our concurrent article [21], which together with the present work establishes a full regularity theory for large data Wave-Maps.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/16e59d9cc042bd394c5460ee5d8343d40b4a2fd5
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In Applied Mathematics
- Wilhelm Schlag
- J. Krieger
- D. Tataru
- Jacob Sterbenz
- Pierre Raphael
- F. Merle
- Raphael Cote
- Pablo Shmerkin
In Mathematical Physics
Citations in the corpus
- Concentration Compactness for Critical Wave Maps (2009, background): “Recently, Sterbenz and Tataru [47], [48] have given the following very satisfactory answer(1) to the above question: If the energy of the initial data is smaller than the energy of any nontrivial harmonic map Rn →M, then one has global existence and regularity.”