Publication Cover
Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 1
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Original Articles

Global Existence and Decay for Solutions to the “Bad” Boussinesq Equation in Two Space Dimensions

Pages 17-36 | Accepted 01 Apr 2003, Published online: 23 Aug 2006

References

  • Kalantorov and Ladyzhenskaya . 1978 . The occurence of collapse for quailinear equation of parabolic and hyperbolic types . J. Soviet Math. , 10 : 53 – 70 .
  • Levine , HA and Sleeman , BO . 1985 . A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation u tt =u xx+3u xxxx −12(u 2) xx . J. Math. Anal. , 107 : 206 – 210 .
  • Levine , HA . 1974 . Instability and nonexistence of global solution to nonlinear wave equations of the form . Trans. of the Am. Math. Society , 192 : 1 – 21 .
  • Linares , F . 1993 . Global existence of small solutions for a generalized Boussinesq equation . J. Diff. Eqns. , 106 : 257 – 293 .
  • Sachs , RL . 1990 . On the blow-up of certain solutions of the good Boussinesq equation . Appl. Anal. , 34 : 145 – 152 .
  • Turitsyn , SK . 1993 . A blow-up in the Boussinesq equation . Phys. Rev. E , 47 : 796 – 558 .
  • Deift , P , Tomei , C and Trubowitz , E . 1982 . Inverse scattering and the Boussinesq Equation . Comm. Pure Appl. Math. , 35 : 567–628, 51–68

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