STABILITY OF GEODESIC WAVE MAPS IN DIMENSIONS d ≥ 3
نویسنده
چکیده
We show that a wave map with initial data close to that of a geodesic wave map in the sense of H, with s > n 2 in spatial dimensions n ≥ 3 can be continued globally in time, and stays close to the geodesic wave map in the critical Besov norm, and in the range of Sobolev spaces Ḣ ′ , with n 2 ≤ s′ ≤ s.
منابع مشابه
Stability of Geodesic Wave Maps
STABILITY OF GEODESIC WAVE MAPS SEPTEMBER 2008 VIKTOR GRIGORYAN, B.S., YEREVAN STATE UNIVERSITY M.S., UNIVERSITY OF MASSACHUSETTS AMHERST Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor Andrea Nahmod In this thesis we investigate the stability properties of a special class of solutions to the wave maps system. Wave maps are maps from a Minkowski manifold into a Riemannian mani...
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