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类波衰减零无穷远的球对称爱因斯坦数量场方程(张晓)
2023-03-20 | 编辑:

  We show that the spherically symmetric Einstein-scalar-field equations for wave-like decaying initial data at null infinity have unique local solutions and unique global solutions for small initial data. We also generalize Christodoulou's global generalized solutions to the wave-like decaying initial data. We emphasize that this decaying condition is sharp. 

    

  Publication: 

  Advances in Mathematics, Volume 409, Part A, 19 November 2022, 108642 

  DOI: 10.1016/j.aim.2022.108642 

    

  Author: 

  Chuxiao Liu 

  School of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, PR China 

   

  Xiao Zhang 

  Guangxi Center for Mathematical Research, Guangxi University, Nanning, Guangxi 530004, PR China 

  Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, PR China 

  School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, PR China 

  Email: xzhang@gxu.edu.cn; xzhang@amss.ac.cn

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