On Solvability of an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation
On Solvability of an Inverse Boundary Value Problem for a Fourth Order Elliptic Equation作者机构：Department of differential and inteqral equations Baku State University Khalilov 23 Baku AZ1148 Azerbaijan
出 版 物：《Journal of Mathematics and System Science》 (数学和系统科学（英文版）)
年 卷 期：2013年第3卷第11期
页 面：560-566页
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：Inverse boundary value problem elliptic equation Fourier method classical solution.
摘 要：In the paper an inverse boundary value problem for a fourth order elliptic equation with an integral condition of the first kind is investigated. First, the given problem is reduced to an equivalent problem in a certain sense. Then, using the Fourier method the equivalent problem is reduced to solving the system of integral equations. The existence and uniqueness of a solution to the system of integral equation is proved by the contraction mapping principle. This solution is also the unique solution to the equivalent problem. Finally, by equivalence, the theorem of existence and uniqueness of a classical solution to the given problem is proved.
维普期刊数据库