具耗散项非线性发展方程整体解的存在唯一性  

The Existence and Uniqueness of the Global Solutions for a Class of Nonlinear Evolution Equations with a Dissipative Term

作　　者：张媛媛[1] 

机构地区：[1]开封大学数学教研部,河南开封475000

出　　处：《闽南师范大学学报（自然科学版）》2014年第2期12-16,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家自然科学基金(10971199);河南省教育厅科学技术研究重点项目(13B110137);2014年开封市工业科技攻关计划项目(1401012)

摘　　要：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.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.

关 键 词：耗散项 整体解 存在性 唯一性 

分 类 号：O175.29[理学—数学]