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19992007
most citedSubcritical Lp bounds on spectral clusters for Lipschitz metrics

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math.AP2001

Almost global existence for quasilinear wave equations in three space dimensions

M. Keel, H. Smith, C. D. Sogge

We prove almost global existence for multiple speed quasilinear wave equations with quadratic nonlinearities in three spatial dimensions. We prove new results both for Minkowski sp…

math.AP2001

Almost global existence for some semilinear wave equations

Markus Keel, Hart Smith, Christopher D. Sogge

We prove almost global existence for semilinear wave equations outside of nontrapping obstacles. We use the vector field method, but only use the generators of translations and Euc…