Abstract
For the Cauchy problem of 2-D nonlinear elastic waves of isotropic, homogeneous and hyperelastic materials satisfying null conditions, assuming the smallness of H3(R2)×H2(R2) norm and the boundedness of H4(R2)×H3(R2) norm for radially symmetric initial data, we show the global existence of classical solutions. Similar results for exterior domain problems are also proved.
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