English

Global low regularity solutions for nonlinear elastic waves

Analysis of PDEs 2018-02-23 v1

Abstract

We study the Cauchy problem for 3-D nonlinear elastic waves satisfying the null condition with low regularity initial data. In the radially symmetric case, we prove the global existence of a low regularity solution for every small data in H3×H2H^3\times H^2 with a low weight.

Keywords

Cite

@article{arxiv.1711.05370,
  title  = {Global low regularity solutions for nonlinear elastic waves},
  author = {Kunio Hidano and Dongbing Zha},
  journal= {arXiv preprint arXiv:1711.05370},
  year   = {2018}
}

Comments

26 pages. All comments are welcome. arXiv admin note: text overlap with arXiv:1710.05180

R2 v1 2026-06-22T22:46:16.724Z