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Y D. (1989) L2 Theory of Partial Differential Equations. Peking University Press, Beijing. (In Chinese)

has been cited by the following article:

• TITLE: Blow-Up of Solution to Cauchy Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation

  AUTHORS: Changming Song, Li Chen

  KEYWORDS: Singularly Perturbed Sixth-Order Boussinesq Equation, Cauchy Problem, Blow-Up of Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.7, July 14, 2015

  ABSTRACT: We consider the singularly perturbed sixth-order Boussinesq-type equation, which describes the bidirectional propagation of small amplitude and long capillary gravity waves on the surface of shallow water for bond number (surface tension parameter) less than but very close to 1/3. The sufficient conditions of blow-up of solution to the Cauchy problem for this equation are given.