【摘要】 本文研究任意维数的强阻尼非线性波动方程u_tt—α△u_t-△u=f（u）具第一类齐边界条件的初边值问题,设f∈C¹,f＇（u）上方有界,且当n≥4时存在常数A,B和户,使|f＇（u）|≤A|u|^p+B,其中0<p≤4/（n—4）（n>4）;0<p<∞（n=4）,得到唯一整体强解,从而改进和推广了已知结果。更多还原

【Abstract】 In this paper we study the initial-boundary value problem with first homogeneous boundary condition for the strongly damped nonlinear wave equation in arbitrary dimensions. Suppose that is upper bounded and when n>4, there existA,B and p such that then the unique global strong solution can be obtained, so the known results are improved and generalized.更多还原