Article Contents
Article Contents

# Global existence for exterior problems of semilinear wave equations with the null condition in $2$D

• In this paper we deal with the exterior problem for a system of nonlinear wave equations in two space dimensions under some geometric restriction on the obstacle. We prove a global existence result for the problem with small and smooth initial data, provided that the nonlinearity is taken to be cubic and satisfies the null condition.
Mathematics Subject Classification: Primary: 35L71; Secondary: 35L20.

 Citation:

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