【摘要】 考虑一类非线性发展方程的初边值问题,利用Galerkin方法和单调算子方法得到了该问题整体广义解的存在性及渐近性.更多还原

【Abstract】 The global existence and asymptotic behavior of solutions to the initial boundary value problem for a class of nonlinear evolution equations are studied.By virtue of the Galerkin approximation scheme combined with the monotone operator method,it is proved that under rather mild conditions on nonlinear terms and initial data the above-mentioned problem admits a global weak solution which decays to zero as t→∞.更多还原