On Systems of Semilinear Wave Equations with Unequal Propagation Speeds in Three Space Dimensions

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Description

In this paper we study coupled systems of semilinear wave equations and derive sharp conditions for the small data global existence and blowup for the system. The way of the interaction in the nonlinearities plays an important role to determine the condition. We focus on the case where propagation speeds also come into play. The discrepancy of the speeds is actually essential in Theorem 3.1 for instance. Moreover, in some cases we have different conclusion for the same nonlinearity according to the order of them. To handle such cases, we modify the argument presented by F. John [12].

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 48 (1), 65-98, 2005

    Division of Functional Equations, The Mathematical Society of Japan

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