The initial boundary value problem for a class of nonlinear evolution equations with a dissipative term was studied. By using some standard methods it was estimated the non-linear term, and by applying embedding theorem and the method of semigroup under rather mild conditions the existence and uniqueness of the global solutions for the above-mentioned problem were obtained.%研究了一类具耗散项非线性发展方程的初边值问题。借助偏微分方程的一些标准技巧对非线性项进行估计,利用嵌入定理和算子半群的方法证明了在相对较弱的条件下上述问题整体解的存在唯一性。
展开▼