Abstract
We consider two dimensional exterior mixed problems for a semilinear damped wave equation with a power type nonlinearity | u | p . For compactly supported initial data, which have a small energy we shall derive global in time existence results in the case when the power of the nonlinearity satisfies 2 < p < + ∞ . This generalizes a previous result of [J. Differential Equations 200 (2004) 53–68], which dealt with a radially symmetric solution.
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