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

doi:10.3969/j.cnki.jdxb.2018.01.003

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

(College of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)

Online:2018-01-25 Published:2018-01-27

Abstract

Abstract:

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

SHI Ningxuan. On the Spread of Regularity of Solutions to the Fifth-Order KdV Equations[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.3969/j.cnki.jdxb.2018.01.003.

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

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