4.5 Article

Global solutions of quasilinear wave equations

Journal

AMERICAN JOURNAL OF MATHEMATICS
Volume 130, Issue 1, Pages 115-157

Publisher

JOHNS HOPKINS UNIV PRESS
DOI: 10.1353/ajm.2008.0009

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We show global small data existence for a class of quasilinear wave equations related to Einstein's equations in harmonic coordinates. These equations do not satisfy the classical null condition and the asymptotic behavior of solutions is not free but the light cones bend at infinity.

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