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FINITE CODIMENSION SOLVABILITY OF QUASILINEAR WAVE EQUATIONS

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FINITE CODIMENSION SOLVABILITY OF QUASILINEAR
WAVE EQUATIONS
PETER HINTZ
I will describe a general framework, applicable on de Sitter and Kerr-de Sitter spacetimes, which allows one to solve quasilinear wave equations globally for
restricted initial data even if the linearized operator has exponentially growing
modes. As an application, I will revisit the nonlinear stability of de Sitter space in
the context of general relativity. This is work in progress with Andras Vasy.
1
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