【摘要】 研究了一类具有任意耗散项的非线性波动方程的初边值问题,如果该问题整体解存在的条件不成立,则在相反条件下,利用补偿能量法给出了方程的解在有限时刻T*爆破的一个充分条件。更多还原

【Abstract】 In this paper,a class of nonlinear wave equations with arbitrary dissipative term were investigated.If the conditions guaranteeing the global existence of weak solutions are not valid,then under the opposite assumptions,a sufficient condition is obtained under which the solutions will blow up in finite time T* by an energy method.更多还原