TY - JOUR
T1 - Strichartz estimates on Kerr black hole backgrounds
AU - Tohaneanu, Mihai
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - We study the dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish Strichartz estimates for solutions of the aforementioned equation. This follows a local energy decay result for the Kerr space-time obtained in earlier work of Tataru and the author, and uses the techniques and results by the author and collaborators (2010). As an application, we then prove global well-posedness and uniqueness for the energy critical semilinear wave equation with small initial data.
AB - We study the dispersive properties for the wave equation in the Kerr space-time with small angular momentum. The main result of this paper is to establish Strichartz estimates for solutions of the aforementioned equation. This follows a local energy decay result for the Kerr space-time obtained in earlier work of Tataru and the author, and uses the techniques and results by the author and collaborators (2010). As an application, we then prove global well-posedness and uniqueness for the energy critical semilinear wave equation with small initial data.
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U2 - 10.1090/S0002-9947-2011-05405-X
DO - 10.1090/S0002-9947-2011-05405-X
M3 - Article
AN - SCOPUS:82755183573
SN - 0002-9947
VL - 364
SP - 689
EP - 702
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 2
ER -