Global non-existence of solutions of a class of wave equations with non-linear damping and source terms
نویسندگان
چکیده
a; b¿0, associated with initial and Dirichlet boundary conditions. We prove, under suitable conditions on ; ; m; p and for negative initial energy, a global non-existence theorem. This improves a result by Yang (Math. Meth. Appl. Sci. 2002; 25:825–833), who requires that the initial energy be su ciently negative and relates the global non-existence of solutions to the size of . Copyright ? 2004 John Wiley & Sons, Ltd.
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