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Publikováno v:
Acta Mathematicae Applicatae Sinica, English Series. 33:251-262
We study the Cauchy problem of damped generalized Boussinesq equation u tt − u xx + (u xx + f(u)) xx − αu xxt = 0. First we give the local existence of weak solution and smooth solution. Then by using potential well method and convexity method w