具有可测系数的二阶拟线性抛物型复方程的初斜微商问题  

InitialOblique Derivative Problems forQuasilinear Parabolic Complex Equations of Second Orderwith Measurable Coefficients

作　　者：闻国椿[1,2] 杨广武[1,2] 许克明[1,2] 

机构地区：[1]北京大学 [2]河北科技大学数学教研室

出　　处：《工程数学学报》1998年第3期30-34,共5页Chinese Journal of Engineering Mathematics

基　　金：河北省教委科学基金

摘　　要：论述了多连通区域内二阶拟线性抛物型复方程的初正则斜微商边值问题，其中方程的系数是可测的，且低阶项具有明显的拟线性部分。文中先验证了上述边值问题解的唯一性，接着给出了这个问题解的先验估计，然后运用估计所得和参数开拓法，证明了初边值问题解的存在性。该结果是文献［１］、［４］和［５］中相应定理的发展，文中条件（３）比［１］、［５］中相应的条件要弱，即前文中的常数４／３用３／２所代替。AbstractThis paper deals with initialregular oblique derivative boundary value problems for quasilinear parabolic complex equalions of second order in a multiply connected domain, where coefficients of equations are measurable. We first verify the uniqueness of solution of above problems, and then give a priori estimates and the method of parameter extension, the existence of solutions of initialboundary value problems is proved. The results in this paper are the development of corresponding theorems in , and , here the condtion (4) is weaker then the corresonding condition in and , i.e. the constant 4/3 in and is replaced by 3/2 in (4).

关 键 词：拟线性 可测 抛物型 二阶 微商 解的存在性 边值问题解 复方 代替 文献 

分 类 号：O175[理学—数学] O241[理学—基础数学]