The singularly perturbed Robin boundary value problem for the higher order elliptic equation is considered.Under suitable conditions,the existence and asymptotic behavior of solution to the boundary value problems are...The singularly perturbed Robin boundary value problem for the higher order elliptic equation is considered.Under suitable conditions,the existence and asymptotic behavior of solution to the boundary value problems are studied.The uniform validity of its asymptotic expansion is proved by using the fixed point theorem.展开更多
基金Supported by the National Natural Science Foundation of China(11271247)the Excellent Youth Talented Project of the Colleges and Universities in Anhui Province(gxyqZD2016520)+1 种基金the Key Project for Teaching Research in Anhui Province(2017jyxm0591,2018jyxm0594)the Key Project for Natural Science Research in Anhui Province(KJ2015A347,KJ2019A1300).
文摘The singularly perturbed Robin boundary value problem for the higher order elliptic equation is considered.Under suitable conditions,the existence and asymptotic behavior of solution to the boundary value problems are studied.The uniform validity of its asymptotic expansion is proved by using the fixed point theorem.