【摘要】 本文用Galerkin方法研究了一类三维强阻尼非线性波动方程u_tt-α△u_t-△u=f（x,t,u,△u,u_t,△u_t）的初值边值问题,给出了为得到整体强解的存在和唯一性,f及其各一阶偏导数所应满足的增长条件.更多还原

【Abstract】 Initial-boundary value problem for general strongly damped nonlinear wave equation in three dimensional space is considered by means of Galerkin’s method.The existence and uniqueness of the global strong solution is obtained under the growth conditions given in the paper.更多还原