Global existence for nonlinear wave equation
نویسندگان
چکیده
منابع مشابه
Existence and Asymptotic Behavior of Global Solutions for a Class of Nonlinear Higher-Order Wave Equation
The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term utt Au a|ut|ut b|u|q−1u in a bounded domain is studied, where A −Δ , m ≥ 1 is a nature number, and a, b > 0 and p, q > 1 are real numbers. The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global ...
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ژورنال
عنوان ژورنال: Dynamics of Partial Differential Equations
سال: 2010
ISSN: 1548-159X,2163-7873
DOI: 10.4310/dpde.2010.v7.n3.a1