journal6 ›› 2011, Vol. 32 ›› Issue (2): 13-18.

• Mathematics • Previous Articles     Next Articles

Unique Continuation of Strong Solutions of Shallow Water Equations


  1. (School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105,Hunan China)
  • Online:2011-03-25 Published:2012-04-09

Abstract: It is shown that strong solutions of shallow water equations,initially decaying exponentially together with its spacial derivative,must be identically equal to zero if it also decays exponentially at a later time.In particular,a strong solution of the Cauchy problem with compact initial profile can not be compactly supported at any later time unless it is the zero solution.

Key words: shallow water equation, strong solution, unique continuation

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