Analysis Seminar

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The Strauss Conjecture on Black Holes

Speaker: Mihai Tohaneanu, Johns Hopkins University

Location: Warren Weaver Hall 1302

Date: Thursday, March 7, 2013, noon

Synopsis:

The Strauss conjecture for the Minkowski spacetime in three dimensions states that the semilinear equation wave \((u) = u^p\) has a global solution for compactly supported and sufficiently small data if \(p> 1+\sqrt 2\). We prove a similar result in the context of Schwarzschild and Kerr with small angular momentum black holes. This is joint work with H. Lindblad, J. Metcalfe, C. Sogge, and C. Wang.