Global well-posedness for nonlinear wave equations with supercritical source and damping terms Article

Guo, Y. (2019). Global well-posedness for nonlinear wave equations with supercritical source and damping terms . JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 477(2), 1087-1113. 10.1016/j.jmaa.2019.05.002

cited authors

  • Guo, Y

authors

abstract

  • We prove the global well-posedness of weak solutions for nonlinear wave equations with supercritical source and damping terms on a three-dimensional torus T3 of the prototype utt−Δu+|ut|m−1ut=|u|p−1u,(x,t)∈T3×R+;u(0)=u0∈H1(T3)∩Lm+1(T3),ut(0)=u1∈L2(T3), where 1≤p≤min⁡{ [Formula presented]m+ [Formula presented],m}. Notably, p is allowed to be larger than 6.

publication date

  • September 15, 2019

published in

Digital Object Identifier (DOI)

start page

  • 1087

end page

  • 1113

volume

  • 477

issue

  • 2