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<p>In this paper, we consider exterior problem of nonlinear elastic waves with third boundary condition in 3D. Firstly, we prove the existence of solutions to linear elastic waves. Then we establish the local existence of solutions nonlinear elastic waves and give the regularity of solutions.</p>

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Local existence of nonlinear elastic waves with third boundary condition in 3D

  • 期刊论文

  • 发表日期：

    2026年1月27日

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  • Lulu Ren,
  • Guanli Xiao,
  • Zhongli You,
  • Jie Xin

摘要

In this paper, we consider exterior problem of nonlinear elastic waves with third boundary condition in 3D. Firstly, we prove the existence of solutions to linear elastic waves. Then we establish the local existence of solutions nonlinear elastic waves and give the regularity of solutions.