Existence of Weak Solutions to the Cauchy Problem of a Semilinear Wave Equation with Supercritical Interior Source and Damping
نویسندگان
چکیده
In this paper we show existence of finite energy solutions for the Cauchy problem associated with a semilinear wave equation with interior damping and supercritical source terms. The main contribution consists in dealing with super-supercritical source terms (terms of the order of |u|p with p ≥ 5 in n = 3 dimensions), an open and highly recognized problem in the literature on nonlinear wave equations.
منابع مشابه
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