arXiv (OAI Expanded)
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Global existence for a scalar quasilinear wave equation in two space dimensions beyond the cubic null condition
We prove global existence, both to the future and to the past, for a family of scalar quasilinear wave equations in two space dimensions for sufficiently small $C_c^\infty$ initial data. These equations have cubic leading quasilinear nonlinearities of the form $u^2\partial^2u$ and satisfy a sign con
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