论文部分内容阅读
We consider a semilinear wave equation of the form utt(x, t) -Δu(x, t) = -m(x, t)ut(x, t) + φ(x) . u(x, t) + b(x)|u(x, t)|p-2u(x, t)where p ＞ 2. We show, under suitable conditions on m, φ, b, that weak solutions breakdown in finite time if the initial energy is negative. This result improves an earlier oneby the author [1].