Journal of Jishou University(Natural Sciences Edition)

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On the Spread of Regularity of Solutions to the Fifth-Order KdV Equations

SHI Ningxuan   

  1. (College of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
  • Online:2018-01-25 Published:2018-01-27


The regularity of solutions to  the fifth-order KdV equations is studied.With  selection of proper truncation functions and through analytical method and inequality technique,the prior estimates of the solutions are obtained based on the qualities of Sobolev space. It is proved that the regularity of the solutions spread to the left in an infinite speed as time evolves.

Key words: fifth-order KdV equation, Sobolev space, regularity, spread

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