Mostrando recursos 1 - 2 de 2

  1. Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data

    Katayama, Soichiro
    In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied. This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in...
    - 28-nov-2017

  2. Global Solutions and the Asymptotic Behavior for Nonlinear Wave Equations with Small Initial Data

    Katayama, Soichiro
    In the study of the Cauchy problem for nonlinear wave equations with small initial data, the case where the nonlinearity has the critical power is of special interest. In this case, depending on the structure of the nonlinearity, one may observe global existence and finite time blow-up of solutions. In 80's, Klainerman introduced a sufficient condition, called the null condition, for the small data global existence in the critical case. Recently, weaker sufficient conditions are also studied. This volume offers a comprehensive survey of the theory of nonlinear wave equations, including the classical local existence theorem, the global existence in...
    - 13-dic-2017

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